Atkin-Lehner |
2- 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
87472f |
Isogeny class |
Conductor |
87472 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-53765189632 = -1 · 212 · 75 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608,-12560] |
[a1,a2,a3,a4,a6] |
j |
-6068404224/13126267 |
j-invariant |
L |
2.2517396873868 |
L(r)(E,1)/r! |
Ω |
0.45034796500654 |
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 |
5467a1 |
Quadratic twists by: -4 |