Cremona's table of elliptic curves

Curve 107226a1

107226 = 2 · 32 · 7 · 23 · 37



Data for elliptic curve 107226a1

Field Data Notes
Atkin-Lehner 2+ 3+ 7+ 23+ 37+ Signs for the Atkin-Lehner involutions
Class 107226a Isogeny class
Conductor 107226 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 417792 Modular degree for the optimal curve
Δ -236799517941504 = -1 · 28 · 39 · 74 · 232 · 37 Discriminant
Eigenvalues 2+ 3+  2 7+  0  2  6 -2 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,3954,-735148] [a1,a2,a3,a4,a6]
Generators [24422:1337249:8] Generators of the group modulo torsion
j 347280685389/12030661888 j-invariant
L 6.2552337097828 L(r)(E,1)/r!
Ω 0.26806000329316 Real period
R 5.8337998893441 Regulator
r 1 Rank of the group of rational points
S 1.0000000063285 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 107226s1 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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