Atkin-Lehner |
5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725c |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-32491344921875 = -1 · 58 · 77 · 101 |
Discriminant |
Eigenvalues |
1 3 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14317,717716] |
[a1,a2,a3,a4,a6] |
j |
-176558481/17675 |
j-invariant |
L |
2.56376047514 |
L(r)(E,1)/r! |
Ω |
0.64094032097151 |
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 |
24745b1 17675b1 |
Quadratic twists by: 5 -7 |