Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bj |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7948800 |
Modular degree for the optimal curve |
Δ |
-1.4660549852581E+22 |
Discriminant |
Eigenvalues |
2- -3 -3 -2 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16250419,25878401266] |
[a1,a2,a3,a4,a6] |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
0.49730628648264 |
L(r)(E,1)/r! |
Ω |
0.12432657182499 |
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 |
6358f1 50864bv1 |
Quadratic twists by: -4 17 |