Cremona's table of elliptic curves

Curve 115920ca1

115920 = 24 · 32 · 5 · 7 · 23



Data for elliptic curve 115920ca1

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7- 23- Signs for the Atkin-Lehner involutions
Class 115920ca Isogeny class
Conductor 115920 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 131072 Modular degree for the optimal curve
Δ 6760454400 = 28 · 38 · 52 · 7 · 23 Discriminant
Eigenvalues 2+ 3- 5- 7- -6 -4 -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-4287,107966] [a1,a2,a3,a4,a6]
Generators [17:200:1] Generators of the group modulo torsion
j 46689225424/36225 j-invariant
L 5.7325376505963 L(r)(E,1)/r!
Ω 1.3211600040547 Real period
R 2.1695092196804 Regulator
r 1 Rank of the group of rational points
S 1.0000000055223 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57960bv1 38640h1 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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