Cremona's table of elliptic curves

Curve 75504y1

75504 = 24 · 3 · 112 · 13



Data for elliptic curve 75504y1

Field Data Notes
Atkin-Lehner 2+ 3- 11- 13- Signs for the Atkin-Lehner involutions
Class 75504y Isogeny class
Conductor 75504 Conductor
∏ cp 6 Product of Tamagawa factors cp
deg 50688 Modular degree for the optimal curve
Δ -1900284672 = -1 · 28 · 3 · 114 · 132 Discriminant
Eigenvalues 2+ 3-  4  3 11- 13-  2 -1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-161,2187] [a1,a2,a3,a4,a6]
j -123904/507 j-invariant
L 7.744209514458 L(r)(E,1)/r!
Ω 1.2907015912587 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 37752t1 75504t1 Quadratic twists by: -4 -11


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