Cremona's table of elliptic curves

Curve 126480i2

126480 = 24 · 3 · 5 · 17 · 31



Data for elliptic curve 126480i2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 17- 31+ Signs for the Atkin-Lehner involutions
Class 126480i Isogeny class
Conductor 126480 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 63988761600 = 210 · 32 · 52 · 172 · 312 Discriminant
Eigenvalues 2+ 3- 5+  0  0  2 17- -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2656,-52156] [a1,a2,a3,a4,a6]
Generators [64:210:1] Generators of the group modulo torsion
j 2024284136836/62489025 j-invariant
L 8.1138137465012 L(r)(E,1)/r!
Ω 0.66626883662029 Real period
R 3.0444969439021 Regulator
r 1 Rank of the group of rational points
S 0.9999999998608 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 63240e2 Quadratic twists by: -4


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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