Cremona's table of elliptic curves

Curve 55488cu1

55488 = 26 · 3 · 172



Data for elliptic curve 55488cu1

Field Data Notes
Atkin-Lehner 2- 3+ 17+ Signs for the Atkin-Lehner involutions
Class 55488cu Isogeny class
Conductor 55488 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 130560 Modular degree for the optimal curve
Δ -22768872287424 = -1 · 26 · 3 · 179 Discriminant
Eigenvalues 2- 3+  3 -2 -5  1 17+ -5 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,6551,102991] [a1,a2,a3,a4,a6]
j 4096/3 j-invariant
L 0.86236733459929 L(r)(E,1)/r!
Ω 0.43118366770234 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 55488bo1 13872bm1 55488dy1 Quadratic twists by: -4 8 17


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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