Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
32760000 = 26 · 32 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-270] |
[a1,a2,a3,a4,a6] |
Generators |
[6702:35875:216] |
Generators of the group modulo torsion |
j |
1544804416/511875 |
j-invariant |
L |
8.721251020362 |
L(r)(E,1)/r! |
Ω |
1.5643891291213 |
Real period |
R |
5.5748604115958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ee1 43680g2 |
Quadratic twists by: -4 8 |