Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216bh |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2251200 |
Modular degree for the optimal curve |
Δ |
-1.6147254385716E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1291717,2013791411] |
[a1,a2,a3,a4,a6] |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
0.90396038604578 |
L(r)(E,1)/r! |
Ω |
0.12913719802186 |
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 |
2451f1 117648bz1 |
Quadratic twists by: -4 -3 |