Cremona's table of elliptic curves

Curve 55440cr4

55440 = 24 · 32 · 5 · 7 · 11



Data for elliptic curve 55440cr4

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7+ 11+ Signs for the Atkin-Lehner involutions
Class 55440cr Isogeny class
Conductor 55440 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 1774413527040000 = 214 · 38 · 54 · 74 · 11 Discriminant
Eigenvalues 2- 3- 5+ 7+ 11+ -2 -2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-307803,65697802] [a1,a2,a3,a4,a6]
Generators [351:950:1] Generators of the group modulo torsion
j 1080077156587801/594247500 j-invariant
L 5.1109581383669 L(r)(E,1)/r!
Ω 0.46495180340561 Real period
R 2.7481117940195 Regulator
r 1 Rank of the group of rational points
S 1.0000000000017 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 6930bb3 18480cz3 Quadratic twists by: -4 -3


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