Atkin-Lehner |
5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325i |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17640 |
Modular degree for the optimal curve |
Δ |
35186328125 = 58 · 133 · 41 |
Discriminant |
Eigenvalues |
2 0 5- 5 -3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-875,-4219] |
[a1,a2,a3,a4,a6] |
Generators |
[-721658:3858091:54872] |
Generators of the group modulo torsion |
j |
189665280/90077 |
j-invariant |
L |
9.8554983816071 |
L(r)(E,1)/r! |
Ω |
0.91973518962633 |
Real period |
R |
10.715582585908 |
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 |
119925bp1 13325g1 |
Quadratic twists by: -3 5 |