Cremona's table of elliptic curves

Curve 115851b2

115851 = 3 · 232 · 73



Data for elliptic curve 115851b2

Field Data Notes
Atkin-Lehner 3+ 23- 73+ Signs for the Atkin-Lehner involutions
Class 115851b Isogeny class
Conductor 115851 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 662285634772606563 = 3 · 2310 · 732 Discriminant
Eigenvalues  1 3+  0 -2  0 -2  4 -8 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-434055,-103050546] [a1,a2,a3,a4,a6]
j 61093154391625/4473818067 j-invariant
L 1.4948808312089 L(r)(E,1)/r!
Ω 0.18686010952289 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 5037a2 Quadratic twists by: -23


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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