Cremona's table of elliptic curves

1232 = 2⁴ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	1232k	Isogeny class
Conductor	1232	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-222035968 = -1 · 218 · 7 · 112	Discriminant
Eigenvalues	2-  0 -4 7- 11-  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-467,-3950]	[a1,a2,a3,a4,a6]
j	-2749884201/54208	j-invariant
L	1.0258006176199	L(r)(E,1)/r!
Ω	0.51290030880996	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	154a1 4928bc1 11088bu1 30800bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1232k1

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
-	0	-4	-	-	2	-4	6	-4	-2	2	10	4	8	-2	6	12	-14	12	8	4	0	6	-6	-14

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Quadratic twists for elliptic curve 1232k1

-4	8	-3	5	-7	-11
154a1	4928bc1	11088bu1	30800bi1	8624x1	13552n1

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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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