Cremona's table of elliptic curves

Curve 115785j1

115785 = 32 · 5 · 31 · 83



Data for elliptic curve 115785j1

Field Data Notes
Atkin-Lehner 3- 5+ 31- 83- Signs for the Atkin-Lehner involutions
Class 115785j Isogeny class
Conductor 115785 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 436224 Modular degree for the optimal curve
Δ 24920822954925 = 318 · 52 · 31 · 83 Discriminant
Eigenvalues  2 3- 5+ -1  2 -5  0 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,1,-13143,-527877] [a1,a2,a3,a4,a6]
j 344413136244736/34184942325 j-invariant
L 1.7949494459916 L(r)(E,1)/r!
Ω 0.44873723437465 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 38595h1 Quadratic twists by: -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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