Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065c |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-3259482656625 = -1 · 311 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 -3 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2758,102073] |
[a1,a2,a3,a4,a6] |
Generators |
[528:11827:1] |
Generators of the group modulo torsion |
j |
-2321413559693929/3259482656625 |
j-invariant |
L |
4.5218869729572 |
L(r)(E,1)/r! |
Ω |
0.71665106364156 |
Real period |
R |
6.3097471033949 |
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 |
39195r1 65325x1 |
Quadratic twists by: -3 5 |