Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bz |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3966644446128 = -1 · 24 · 311 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2820,111823] |
[a1,a2,a3,a4,a6] |
j |
-212629504000/340075827 |
j-invariant |
L |
1.4041351548263 |
L(r)(E,1)/r! |
Ω |
0.70206757741317 |
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 |
3276e1 52416gh1 4368x1 91728ex1 |
Quadratic twists by: -4 8 -3 -7 |