Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bz |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18009600 |
Modular degree for the optimal curve |
Δ |
-1.1771348447187E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 0 6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11625456,-54383993552] |
[a1,a2,a3,a4,a6] |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
4.5788055814696 |
L(r)(E,1)/r! |
Ω |
0.036339733882669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7353m1 39216bh1 |
Quadratic twists by: -4 -3 |