Atkin-Lehner |
2- 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518bb |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61699973629014 = 2 · 37 · 72 · 194 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10931,-222339] |
[a1,a2,a3,a4,a6] |
j |
198124698564073/84636452166 |
j-invariant |
L |
3.8819145605398 |
L(r)(E,1)/r! |
Ω |
0.48523935812147 |
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 |
37506a2 |
Quadratic twists by: -3 |