Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394z |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
10570560 |
Modular degree for the optimal curve |
Δ |
1.9998013921451E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20262784,27740008910] |
[a1,a2,a3,a4,a6] |
j |
4292195992794307609/932922108389376 |
j-invariant |
L |
1.2324477410616 |
L(r)(E,1)/r! |
Ω |
0.094803675226263 |
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 |
86394ct1 |
Quadratic twists by: -11 |