Cremona's table of elliptic curves

Curve 55440cs3

55440 = 24 · 32 · 5 · 7 · 11



Data for elliptic curve 55440cs3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7+ 11+ Signs for the Atkin-Lehner involutions
Class 55440cs Isogeny class
Conductor 55440 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 1.0667436546267E+28 Discriminant
Eigenvalues 2- 3- 5+ 7+ 11+ -2 -2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-839031843,7925376685858] [a1,a2,a3,a4,a6]
Generators [-1356873987:-330445539050:79507] Generators of the group modulo torsion
j 21876183941534093095979041/3572502915711058560000 j-invariant
L 4.9042369075969 L(r)(E,1)/r!
Ω 0.038744534003619 Real period
R 15.82235092521 Regulator
r 1 Rank of the group of rational points
S 1.0000000000173 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 6930i4 18480da4 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
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