Atkin-Lehner |
5- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
117425i |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
167760 |
Modular degree for the optimal curve |
Δ |
-988938671875 = -1 · 58 · 73 · 112 · 61 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12083,-517506] |
[a1,a2,a3,a4,a6] |
j |
-499486720000/2531683 |
j-invariant |
L |
0.45521971432898 |
L(r)(E,1)/r! |
Ω |
0.22760993595816 |
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 |
117425g1 |
Quadratic twists by: 5 |