Cremona's table of elliptic curves

69696 = 2⁶ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	69696gh	Isogeny class
Conductor	69696	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	245760	Modular degree for the optimal curve
Δ	698260569735168 = 214 · 37 · 117	Discriminant
Eigenvalues	2- 3-  2  0 11-  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-53724,4621232]	[a1,a2,a3,a4,a6]
j	810448/33	j-invariant
L	4.0338476954086	L(r)(E,1)/r!
Ω	0.50423096215503	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	69696cd1 17424v1 23232dc1 6336bz1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 69696gh1

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	0	-	2	6	0	4	-2	0	10	6	8	-4	-6	12	2	4	12	14	16	-12	-10	-14

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Quadratic twists for elliptic curve 69696gh1

-4	8	-3	-11
69696cd1	17424v1	23232dc1	6336bz1

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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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