Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+ 23-	Signs for the Atkin-Lehner involutions
Class	3542k	Isogeny class
Conductor	3542	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	-2548110404539996912 = -1 · 24 · 75 · 112 · 238	Discriminant
Eigenvalues	2-  0  2 7+ 11+ -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-330754,106190961]	[a1,a2,a3,a4,a6]
Generators	[-3306:106621:8]	Generators of the group modulo torsion
j	-4001637980024799157233/2548110404539996912	j-invariant
L	5.1942195475078	L(r)(E,1)/r!
Ω	0.23745787250055	Real period
R	5.4685695327871	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	28336bo1 113344s1 31878i1 88550o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542k1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	2	+	+	-6	-6	8	-	-2	0	-2	-6	-12	0	6	0	-6	4	0	2	-16	-8	-14	2

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Quadratic twists for elliptic curve 3542k1

-4	8	-3	5	-7	-11	-23
28336bo1	113344s1	31878i1	88550o1	24794bh1	38962p1	81466bm1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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