Cremona's table of elliptic curves

Curve 107640bf2

107640 = 23 · 32 · 5 · 13 · 23



Data for elliptic curve 107640bf2

Field Data Notes
Atkin-Lehner 2- 3- 5- 13- 23+ Signs for the Atkin-Lehner involutions
Class 107640bf Isogeny class
Conductor 107640 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 324863978400000000 = 211 · 310 · 58 · 13 · 232 Discriminant
Eigenvalues 2- 3- 5- -2  0 13-  2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-361227,-78936154] [a1,a2,a3,a4,a6]
Generators [3322:188100:1] Generators of the group modulo torsion
j 3491458179155858/217592578125 j-invariant
L 7.341320034851 L(r)(E,1)/r!
Ω 0.19549993030108 Real period
R 4.6939403171677 Regulator
r 1 Rank of the group of rational points
S 0.99999999946894 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 35880a2 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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