Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
8.4526305273446E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104265985,-385212815617] |
[a1,a2,a3,a4,a6] |
Generators |
[-6779:100620:1] |
Generators of the group modulo torsion |
j |
478202393398338853167169/32244226560000000000 |
j-invariant |
L |
8.9796836228566 |
L(r)(E,1)/r! |
Ω |
0.047446164712215 |
Real period |
R |
4.7315118528492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939124 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360bl2 21840x2 |
Quadratic twists by: -4 8 |