Cremona's table of elliptic curves

1936 = 2⁴ · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	1936i	Isogeny class
Conductor	1936	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2030043136 = -1 · 224 · 112	Discriminant
Eigenvalues	2-  2 -3  2 11- -5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-832,-9216]	[a1,a2,a3,a4,a6]
Generators	[90:798:1]	Generators of the group modulo torsion
j	-128667913/4096	j-invariant
L	3.5257907746584	L(r)(E,1)/r!
Ω	0.44359020396186	Real period
R	3.9741531070438	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	242a2 7744bg2 17424cb2 48400co2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936i2

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 1936i2

-4	8	-3	5	-7	-11
242a2	7744bg2	17424cb2	48400co2	94864db2	1936j2

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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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