Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650da |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-26999070312500 = -1 · 22 · 59 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10513,483517] |
[a1,a2,a3,a4,a6] |
j |
-543739493/114244 |
j-invariant |
L |
5.1091599145425 |
L(r)(E,1)/r! |
Ω |
0.63864499601668 |
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 |
78650bj1 78650bi1 |
Quadratic twists by: 5 -11 |