Cremona's table of elliptic curves

Curve 62752b1

62752 = 25 · 37 · 53



Data for elliptic curve 62752b1

Field Data Notes
Atkin-Lehner 2+ 37+ 53- Signs for the Atkin-Lehner involutions
Class 62752b Isogeny class
Conductor 62752 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 14848 Modular degree for the optimal curve
Δ 4643648 = 26 · 372 · 53 Discriminant
Eigenvalues 2+ -2  0  4 -4  2  6  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-58,-156] [a1,a2,a3,a4,a6]
j 343000000/72557 j-invariant
L 1.7533459496265 L(r)(E,1)/r!
Ω 1.753345961746 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 62752a1 125504h2 Quadratic twists by: -4 8


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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