Cremona's table of elliptic curves

121968 = 2⁴ · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	121968fv	Isogeny class
Conductor	121968	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1.3831319930457E+19	Discriminant
Eigenvalues	2- 3-  2 7- 11- -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-679899,-120601910]	[a1,a2,a3,a4,a6]
Generators	[-673:5670:1]	Generators of the group modulo torsion
j	6570725617/2614689	j-invariant
L	8.2987754630839	L(r)(E,1)/r!
Ω	0.17206242138666	Real period
R	3.0144494266406	Regulator
r	1	Rank of the group of rational points
S	0.99999999797045	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7623i2 40656dk2 11088bh2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 121968fv2

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	-	-	-6	2	4	0	-2	-8	6	10	-4	-8	-6	4	10	12	0	-2	16	-4	-18	2

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Quadratic twists for elliptic curve 121968fv2

-4	-3	-11
7623i2	40656dk2	11088bh2

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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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