Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800br |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
659374625000000 = 26 · 59 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9153758,10662807512] |
[a1,a2,a3,a4,a6] |
Generators |
[68844:1684700:27] |
Generators of the group modulo torsion |
j |
84824642835624182464/659374625 |
j-invariant |
L |
10.408701161096 |
L(r)(E,1)/r! |
Ω |
0.35336678090394 |
Real period |
R |
7.3639499541339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bj1 14560f1 |
Quadratic twists by: -4 5 |