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	3542l	Isogeny class
Conductor	3542	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-56672 = -1 · 25 · 7 · 11 · 23	Discriminant
Eigenvalues	2- -3  2 7+ 11+  0  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-54,165]	[a1,a2,a3,a4,a6]
Generators	[5:-5:1]	Generators of the group modulo torsion
j	-17113674033/56672	j-invariant
L	3.5263765635644	L(r)(E,1)/r!
Ω	3.5419639508626	Real period
R	0.19911984494961	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28336bq1 113344w1 31878h1 88550q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542l1

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
-	-3	2	+	+	0	0	-4	-	-5	-6	7	3	0	-6	-3	3	-9	7	3	2	-1	-11	1	-10

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Quadratic twists for elliptic curve 3542l1

-4	8	-3	5	-7	-11	-23
28336bq1	113344w1	31878h1	88550q1	24794bn1	38962r1	81466bp1

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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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