Cremona's table of elliptic curves

1216 = 2⁶ · 19

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	1216q	Isogeny class
Conductor	1216	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-438976 = -1 · 26 · 193	Discriminant
Eigenvalues	2- -2 -3  1  3  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-37,81]	[a1,a2,a3,a4,a6]
Generators	[8:19:1]	Generators of the group modulo torsion
j	-89915392/6859	j-invariant
L	1.7390246436273	L(r)(E,1)/r!
Ω	2.9182950167667	Real period
R	0.19863477745692	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	1216d2 304e2 10944cn2 30400bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1216q2

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	1	3	4	-3	-	0	-6	4	-2	-6	-1	3	-12	-6	1	-4	-6	-7	-8	12	12	8

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Quadratic twists for elliptic curve 1216q2

-4	8	-3	5	-7	-19
1216d2	304e2	10944cn2	30400bv2	59584co2	23104bz2

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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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