Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710v |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-151640576122880 = -1 · 213 · 5 · 137 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5496,612416] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-696:1] |
Generators of the group modulo torsion |
j |
-3803721481/31416320 |
j-invariant |
L |
9.1042234378957 |
L(r)(E,1)/r! |
Ω |
0.49500735461613 |
Real period |
R |
0.70738835693818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670d1 |
Quadratic twists by: 13 |