Cremona's table of elliptic curves

Curve 6960bg1

6960 = 24 · 3 · 5 · 29



Data for elliptic curve 6960bg1

Field Data Notes
Atkin-Lehner 2- 3- 5+ 29- Signs for the Atkin-Lehner involutions
Class 6960bg Isogeny class
Conductor 6960 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 4608 Modular degree for the optimal curve
Δ 587250000 = 24 · 34 · 56 · 29 Discriminant
Eigenvalues 2- 3- 5+  0  6  6  4 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-741,7434] [a1,a2,a3,a4,a6]
j 2816075628544/36703125 j-invariant
L 3.2755639222562 L(r)(E,1)/r!
Ω 1.6377819611281 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 1740a1 27840cv1 20880ch1 34800bx1 Quadratic twists by: -4 8 -3 5


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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