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	3542b	Isogeny class
Conductor	3542	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	15120	Modular degree for the optimal curve
Δ	-3108393233792 = -1 · 27 · 73 · 11 · 235	Discriminant
Eigenvalues	2+ -3  2 7+ 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1771,89989]	[a1,a2,a3,a4,a6]
Generators	[35:247:1]	Generators of the group modulo torsion
j	-614493548699913/3108393233792	j-invariant
L	1.7282862226786	L(r)(E,1)/r!
Ω	0.69271038068884	Real period
R	0.49899244211123	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	28336bk1 113344m1 31878bc1 88550bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542b1

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	+	-	-4	0	4	-	-3	10	-11	5	-4	-10	-9	-5	-13	13	11	14	11	9	-5	-14

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Quadratic twists for elliptic curve 3542b1

-4	8	-3	5	-7	-11	-23
28336bk1	113344m1	31878bc1	88550bw1	24794y1	38962bi1	81466r1

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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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