Cremona's table of elliptic curves

Curve 52038g2

52038 = 2 · 32 · 72 · 59



Data for elliptic curve 52038g2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 59+ Signs for the Atkin-Lehner involutions
Class 52038g Isogeny class
Conductor 52038 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -5373933609618 = -1 · 2 · 38 · 76 · 592 Discriminant
Eigenvalues 2+ 3-  0 7- -4 -4  6  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,3078,-90882] [a1,a2,a3,a4,a6]
Generators [37:251:1] Generators of the group modulo torsion
j 37595375/62658 j-invariant
L 3.9038497327829 L(r)(E,1)/r!
Ω 0.40173440782365 Real period
R 2.4293722772851 Regulator
r 1 Rank of the group of rational points
S 0.99999999999734 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 17346ba2 1062c2 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
Back to Tables and computations