Cremona's table of elliptic curves

704 = 2⁶ · 11

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	704l	Isogeny class
Conductor	704	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-85184 = -1 · 26 · 113	Discriminant
Eigenvalues	2- -3 -1  0 11-  6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2,-14]	[a1,a2,a3,a4,a6]
Generators	[5:11:1]	Generators of the group modulo torsion
j	13824/1331	j-invariant
L	1.4443889285386	L(r)(E,1)/r!
Ω	1.6188133884502	Real period
R	0.29741721906591	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	704h1 352e1 6336bw1 17600cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 704l1

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
-	-3	-1	0	-	6	-4	-6	3	4	-9	-7	-2	-6	12	-2	-9	-8	15	-3	-6	-6	6	-5	-3

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Quadratic twists for elliptic curve 704l1

-4	8	-3	5	-7	-11	13
704h1	352e1	6336bw1	17600cp1	34496dr1	7744bj1	118976cn1

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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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