Atkin-Lehner |
3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11505f |
Isogeny class |
Conductor |
11505 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
265760 |
Modular degree for the optimal curve |
Δ |
-7579790052945998355 = -1 · 35 · 5 · 1311 · 592 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-292755,145720676] |
[a1,a2,a3,a4,a6] |
j |
-2774841359655424393216/7579790052945998355 |
j-invariant |
L |
2.0690075412788 |
L(r)(E,1)/r! |
Ω |
0.20690075412788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34515c1 57525d1 |
Quadratic twists by: -3 5 |