Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405q |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-41771027445875 = -1 · 53 · 711 · 132 |
Discriminant |
Eigenvalues |
2 0 5- 7- 3 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-637,311015] |
[a1,a2,a3,a4,a6] |
Generators |
[-1148:35983:64] |
Generators of the group modulo torsion |
j |
-1437696/2100875 |
j-invariant |
L |
12.529690667123 |
L(r)(E,1)/r! |
Ω |
0.51833318397832 |
Real period |
R |
2.0144203018469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915c1 41405j1 |
Quadratic twists by: -7 13 |