Cremona's table of elliptic curves

Curve 58800ig2

58800 = 24 · 3 · 52 · 72



Data for elliptic curve 58800ig2

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- Signs for the Atkin-Lehner involutions
Class 58800ig Isogeny class
Conductor 58800 Conductor
∏ cp 80 Product of Tamagawa factors cp
Δ -6808114684980000000 = -1 · 28 · 310 · 57 · 78 Discriminant
Eigenvalues 2- 3- 5+ 7-  2  4  2  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-661908,242105688] [a1,a2,a3,a4,a6]
j -68150496976/14467005 j-invariant
L 4.5292092615898 L(r)(E,1)/r!
Ω 0.22646046297019 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 14700j2 11760bn2 8400bn2 Quadratic twists by: -4 5 -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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