Cremona's table of elliptic curves

Curve 56550b1

56550 = 2 · 3 · 52 · 13 · 29



Data for elliptic curve 56550b1

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 13+ 29- Signs for the Atkin-Lehner involutions
Class 56550b Isogeny class
Conductor 56550 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 129024 Modular degree for the optimal curve
Δ -6595992000000 = -1 · 29 · 37 · 56 · 13 · 29 Discriminant
Eigenvalues 2+ 3+ 5+  2 -1 13+  7 -2 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-6975,253125] [a1,a2,a3,a4,a6]
j -2402335209457/422143488 j-invariant
L 1.4436274871202 L(r)(E,1)/r!
Ω 0.72181374351239 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 2262l1 Quadratic twists by: 5


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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