Cremona's table of elliptic curves

Curve 75504bj3

75504 = 24 · 3 · 112 · 13



Data for elliptic curve 75504bj3

Field Data Notes
Atkin-Lehner 2- 3+ 11- 13+ Signs for the Atkin-Lehner involutions
Class 75504bj Isogeny class
Conductor 75504 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 2.7308806374451E+19 Discriminant
Eigenvalues 2- 3+ -2  0 11- 13+  6 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-917704,226767664] [a1,a2,a3,a4,a6]
Generators [-3858:508690:27] Generators of the group modulo torsion
j 11779205551777/3763454409 j-invariant
L 4.6235642682678 L(r)(E,1)/r!
Ω 0.19478658816942 Real period
R 5.9341409371231 Regulator
r 1 Rank of the group of rational points
S 1.0000000001802 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 4719j4 6864r4 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
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