Cremona's table of elliptic curves

Curve 107226j1

107226 = 2 · 32 · 7 · 23 · 37



Data for elliptic curve 107226j1

Field Data Notes
Atkin-Lehner 2+ 3- 7+ 23- 37+ Signs for the Atkin-Lehner involutions
Class 107226j Isogeny class
Conductor 107226 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 138240 Modular degree for the optimal curve
Δ 172594400832 = 26 · 39 · 7 · 232 · 37 Discriminant
Eigenvalues 2+ 3- -2 7+ -2  2 -4  8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-1863,-23171] [a1,a2,a3,a4,a6]
Generators [-25:98:1] Generators of the group modulo torsion
j 981218819953/236755008 j-invariant
L 3.7691415834491 L(r)(E,1)/r!
Ω 0.73941828727976 Real period
R 2.5487208237536 Regulator
r 1 Rank of the group of rational points
S 1.0000000029027 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 35742h1 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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