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	69696cp	Isogeny class
Conductor	69696	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1523477606694912 = 217 · 38 · 116	Discriminant
Eigenvalues	2+ 3- -2  0 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1674156,-833759696]	[a1,a2,a3,a4,a6]
Generators	[-3668124:204520:4913]	Generators of the group modulo torsion
j	3065617154/9	j-invariant
L	4.864414527171	L(r)(E,1)/r!
Ω	0.1327243631855	Real period
R	9.1626254809987	Regulator
r	1	Rank of the group of rational points
S	0.99999999976975	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	69696gl6 8712y5 23232bw6 576d5	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 69696cp6

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	2	-4	8	-6	8	-6	-6	4	0	-2	4	-2	4	-8	-10	8	4	6	2

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Quadratic twists for elliptic curve 69696cp6

-4	8	-3	-11
69696gl6	8712y5	23232bw6	576d5

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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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