Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12775l |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-72857421875 = -1 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 7 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1083,-19256] |
[a1,a2,a3,a4,a6] |
Generators |
[314:121:8] |
Generators of the group modulo torsion |
j |
-71991296/37303 |
j-invariant |
L |
4.9841240188496 |
L(r)(E,1)/r! |
Ω |
0.40616972253153 |
Real period |
R |
3.0677594502767 |
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 |
114975bl1 12775k1 89425bd1 |
Quadratic twists by: -3 5 -7 |