Cremona's table of elliptic curves

Curve 57330dl2

57330 = 2 · 32 · 5 · 72 · 13



Data for elliptic curve 57330dl2

Field Data Notes
Atkin-Lehner 2- 3+ 5- 7- 13- Signs for the Atkin-Lehner involutions
Class 57330dl Isogeny class
Conductor 57330 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 354169472770467900 = 22 · 39 · 52 · 712 · 13 Discriminant
Eigenvalues 2- 3+ 5- 7- -2 13-  4  0 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-414182,98624089] [a1,a2,a3,a4,a6]
Generators [22654:1165159:8] Generators of the group modulo torsion
j 3393257824683/152943700 j-invariant
L 10.756447408139 L(r)(E,1)/r!
Ω 0.29953242870337 Real period
R 4.4888492770207 Regulator
r 1 Rank of the group of rational points
S 0.99999999999109 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57330f2 8190bd2 Quadratic twists by: -3 -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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