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	69696y	Isogeny class
Conductor	69696	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	506937173627731968 = 215 · 38 · 119	Discriminant
Eigenvalues	2+ 3-  0 -4 11+ -2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-559020,-157185776]	[a1,a2,a3,a4,a6]
j	343000/9	j-invariant
L	1.3990334012689	L(r)(E,1)/r!
Ω	0.17487917492752	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	69696w2 34848j2 23232bi2 69696v2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 69696y2

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
+	-	0	-4	+	-2	2	-2	6	-2	8	2	6	-2	6	4	-4	-10	12	10	12	-8	-8	-2	-10

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Quadratic twists for elliptic curve 69696y2

-4	8	-3	-11
69696w2	34848j2	23232bi2	69696v2

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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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