Cremona's table of elliptic curves

1936 = 2⁴ · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	1936l	Isogeny class
Conductor	1936	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-106239691165696 = -1 · 212 · 1110	Discriminant
Eigenvalues	2- -2  1 -2 11- -1  5  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4880,-514604]	[a1,a2,a3,a4,a6]
Generators	[100:86:1]	Generators of the group modulo torsion
j	-121	j-invariant
L	2.1977641007139	L(r)(E,1)/r!
Ω	0.2511826066728	Real period
R	4.3748333728711	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	121a2 7744bc2 17424bu2 48400cg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936l2

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	1	-2	-	-1	5	6	-2	-9	2	-3	5	0	-2	9	-8	-6	-2	-12	2	-10	6	-9	-13

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Quadratic twists for elliptic curve 1936l2

-4	8	-3	5	-7	-11
121a2	7744bc2	17424bu2	48400cg2	94864cq2	1936k1

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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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