Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bs |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
53084160 |
Modular degree for the optimal curve |
Δ |
-2.1488208405514E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2151262317,-38469739500524] |
[a1,a2,a3,a4,a6] |
Generators |
[8722863606596167988:1402924910305349628720:130702070339749] |
Generators of the group modulo torsion |
j |
-23599147758753366440242273216/46056688111954948899375 |
j-invariant |
L |
5.247406673596 |
L(r)(E,1)/r! |
Ω |
0.011082696097376 |
Real period |
R |
19.72822698557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240n1 34080p1 |
Quadratic twists by: -4 -3 |