Atkin-Lehner |
5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325c |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
47780972890625 = 57 · 13 · 196 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9213,-73208] |
[a1,a2,a3,a4,a6] |
j |
117649/65 |
j-invariant |
L |
1.0434319937001 |
L(r)(E,1)/r! |
Ω |
0.52171582883919 |
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 |
23465a1 325c1 |
Quadratic twists by: 5 -19 |