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	69696ej	Isogeny class
Conductor	69696	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-32673685018974912 = -1 · 26 · 39 · 1110	Discriminant
Eigenvalues	2- 3+  0  5 11-  2  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,-8696754]	[a1,a2,a3,a4,a6]
Generators	[8367117954640431:-75107097821598219:35407105000253]	Generators of the group modulo torsion
j	0	j-invariant
L	8.5030497299131	L(r)(E,1)/r!
Ω	0.16935792217727	Real period
R	25.103784991566	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	69696q2 17424bf2 69696ej1 69696ek2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 69696ej2

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	5	-	2	0	7	0	0	-11	-11	0	-8	0	0	0	-1	11	0	-17	-13	0	0	5

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Quadratic twists for elliptic curve 69696ej2

-4	8	-3	-11
69696q2	17424bf2	69696ej1	69696ek2

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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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