Cremona's table of elliptic curves

3526 = 2 · 41 · 43

Field	Data	Notes
Atkin-Lehner	2+ 41+ 43+	Signs for the Atkin-Lehner involutions
Class	3526a	Isogeny class
Conductor	3526	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	8970933824 = 26 · 41 · 434	Discriminant
Eigenvalues	2+ -2 -2  0  2  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4932,-133630]	[a1,a2,a3,a4,a6]
Generators	[-40:25:1]	Generators of the group modulo torsion
j	13263750031719097/8970933824	j-invariant
L	1.5001888267475	L(r)(E,1)/r!
Ω	0.56973377787359	Real period
R	2.6331400471755	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28208h1 112832i1 31734o1 88150k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3526a1

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
+	-2	-2	0	2	0	-2	-2	0	0	0	10	+	+	-4	8	0	10	2	-4	10	4	-4	14	14

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Quadratic twists for elliptic curve 3526a1

-4	8	-3	5
28208h1	112832i1	31734o1	88150k1

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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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