Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094ch |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-17644035392478 = -1 · 2 · 39 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13091,-607615] |
[a1,a2,a3,a4,a6] |
Generators |
[12894:509735:8] |
Generators of the group modulo torsion |
j |
-192100033/13662 |
j-invariant |
L |
7.9857987049768 |
L(r)(E,1)/r! |
Ω |
0.22225623017903 |
Real period |
R |
4.4913244380721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698q1 4554j1 |
Quadratic twists by: -3 -11 |