Cremona's table of elliptic curves

3232 = 2⁵ · 101

Field	Data	Notes
Atkin-Lehner	2+ 101+	Signs for the Atkin-Lehner involutions
Class	3232a	Isogeny class
Conductor	3232	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	456	Modular degree for the optimal curve
Δ	6464 = 26 · 101	Discriminant
Eigenvalues	2+  2 -2 -2  2 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-134,644]	[a1,a2,a3,a4,a6]
Generators	[-2:30:1]	Generators of the group modulo torsion
j	4188852928/101	j-invariant
L	4.0348153013001	L(r)(E,1)/r!
Ω	3.9148730230673	Real period
R	2.0612751818647	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	3232c1 6464i2 29088m1 80800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3232a1

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	-2	2	-2	6	-4	8	-6	-4	-6	-6	8	-8	10	-6	-14	10	-12	2	-12	-14	18	-14

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Quadratic twists for elliptic curve 3232a1

-4	8	-3	5
3232c1	6464i2	29088m1	80800h1

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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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