Cremona's table of elliptic curves

Curve 64680x2

64680 = 23 · 3 · 5 · 72 · 11



Data for elliptic curve 64680x2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 11- Signs for the Atkin-Lehner involutions
Class 64680x Isogeny class
Conductor 64680 Conductor
∏ cp 192 Product of Tamagawa factors cp
Δ 325444692101760000 = 210 · 36 · 54 · 78 · 112 Discriminant
Eigenvalues 2+ 3- 5+ 7- 11- -2  6  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-619376,185395440] [a1,a2,a3,a4,a6]
j 218121931923844/2701400625 j-invariant
L 3.672162872218 L(r)(E,1)/r!
Ω 0.30601357255493 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 129360l2 9240i2 Quadratic twists by: -4 -7


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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