Cremona's table of elliptic curves

3224 = 2³ · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 13- 31-	Signs for the Atkin-Lehner involutions
Class	3224d	Isogeny class
Conductor	3224	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-4323977216 = -1 · 211 · 133 · 312	Discriminant
Eigenvalues	2-  3 -3  3  2 13-  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-139,-3226]	[a1,a2,a3,a4,a6]
j	-145023426/2111317	j-invariant
L	3.5514899803632	L(r)(E,1)/r!
Ω	0.5919149967272	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6448d1 25792n1 29016g1 80600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3224d1

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	-3	3	2	-	3	4	-2	-6	-	-1	-2	5	3	-10	6	0	12	5	2	6	6	-4	-8

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Quadratic twists for elliptic curve 3224d1

-4	8	-3	5	13	-31
6448d1	25792n1	29016g1	80600d1	41912c1	99944e1

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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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