Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230q |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
5510464325550080 = 218 · 5 · 137 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 6 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182583801,-949616906759] |
[a1,a2,a3,a4,a6] |
j |
139460214921525292705561/1141637120 |
j-invariant |
L |
2.957103211838 |
L(r)(E,1)/r! |
Ω |
0.041070878617401 |
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 |
8710h3 |
Quadratic twists by: 13 |