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
Δ	17661952 = 215 · 72 · 11	Discriminant
Eigenvalues	2-  0 -4 7- 11-  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7507,-250350]	[a1,a2,a3,a4,a6]
j	11422548526761/4312	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	154a2 4928bc2 11088bu2 30800bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1232k2

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 1232k2

-4	8	-3	5	-7	-11
154a2	4928bc2	11088bu2	30800bi2	8624x2	13552n2

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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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