Atkin-Lehner |
2- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8690i |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-11279037498437500 = -1 · 22 · 58 · 114 · 793 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40145,5957707] |
[a1,a2,a3,a4,a6] |
j |
-7155150532299841681/11279037498437500 |
j-invariant |
L |
5.7926854111378 |
L(r)(E,1)/r! |
Ω |
0.36204283819611 |
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 |
69520bb1 78210h1 43450d1 95590h1 |
Quadratic twists by: -4 -3 5 -11 |