Atkin-Lehner |
2- 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cr |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-136307710000 = -1 · 24 · 54 · 72 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7052,-228629] |
[a1,a2,a3,a4,a6] |
j |
-2424044790890496/8519231875 |
j-invariant |
L |
2.0834843181818 |
L(r)(E,1)/r! |
Ω |
0.26043545478453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260h1 |
Quadratic twists by: -4 |