Cremona's table of elliptic curves

Curve 54080bc1

54080 = 26 · 5 · 132



Data for elliptic curve 54080bc1

Field Data Notes
Atkin-Lehner 2+ 5- 13+ Signs for the Atkin-Lehner involutions
Class 54080bc Isogeny class
Conductor 54080 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 139776 Modular degree for the optimal curve
Δ -133649321328640 = -1 · 215 · 5 · 138 Discriminant
Eigenvalues 2+  0 5-  1  5 13+  4  7 Hecke eigenvalues for primes up to 20
Equation [0,0,0,8788,-456976] [a1,a2,a3,a4,a6]
j 2808/5 j-invariant
L 3.6754028968026 L(r)(E,1)/r!
Ω 0.30628357469833 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 54080bd1 27040o1 54080c1 Quadratic twists by: -4 8 13


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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