Atkin-Lehner |
5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325b |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
67666015625 = 510 · 132 · 41 |
Discriminant |
Eigenvalues |
1 2 5+ -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3400,73875] |
[a1,a2,a3,a4,a6] |
j |
278317173889/4330625 |
j-invariant |
L |
2.2028913560418 |
L(r)(E,1)/r! |
Ω |
1.1014456780209 |
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 |
119925p1 2665e1 |
Quadratic twists by: -3 5 |