Atkin-Lehner |
2- 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bn |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-273423515625000 = -1 · 23 · 33 · 510 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4785638,-4031556469] |
[a1,a2,a3,a4,a6] |
Generators |
[531415901766806:7873905744048595:201848801896] |
Generators of the group modulo torsion |
j |
-1241204115703078825/27998568 |
j-invariant |
L |
10.983392239677 |
L(r)(E,1)/r! |
Ω |
0.05103693638316 |
Real period |
R |
23.911641293626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050be1 |
Quadratic twists by: 5 |