Atkin-Lehner |
3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275o |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1260087890625 = -1 · 37 · 510 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 6 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,-4678] |
[a1,a2,a3,a4,a6] |
j |
304175/177 |
j-invariant |
L |
2.0376319162193 |
L(r)(E,1)/r! |
Ω |
0.50940797905482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425h1 13275v1 |
Quadratic twists by: -3 5 |