Cremona's table of elliptic curves

1936 = 2⁴ · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	1936j	Isogeny class
Conductor	1936	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4224	Modular degree for the optimal curve
Δ	-14048223625216 = -1 · 216 · 118	Discriminant
Eigenvalues	2-  2 -3 -2 11-  5  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5768,62064]	[a1,a2,a3,a4,a6]
Generators	[18:414:1]	Generators of the group modulo torsion
j	24167/16	j-invariant
L	3.368267547801	L(r)(E,1)/r!
Ω	0.44183251066965	Real period
R	3.8117017947548	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	242b1 7744bh1 17424cc1 48400cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936j1

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	-3	-2	-	5	3	-2	-6	-3	-2	-7	3	-8	-6	-3	0	-10	10	-12	14	-2	-18	-9	11

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Quadratic twists for elliptic curve 1936j1

-4	8	-3	5	-7	-11
242b1	7744bh1	17424cc1	48400cm1	94864dc1	1936i1

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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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