Atkin-Lehner |
5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1325b |
Isogeny class |
Conductor |
1325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
103515625 = 59 · 53 |
Discriminant |
Eigenvalues |
1 0 5+ -2 0 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3442,78591] |
[a1,a2,a3,a4,a6] |
j |
288673724529/6625 |
j-invariant |
L |
1.7449219911937 |
L(r)(E,1)/r! |
Ω |
1.7449219911937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21200o1 84800a1 11925o1 265a1 |
Quadratic twists by: -4 8 -3 5 |