Atkin-Lehner |
5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71995f |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
42091660765 = 5 · 72 · 112 · 175 |
Discriminant |
Eigenvalues |
2 3 5+ 7+ 11- -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-913,3913] |
[a1,a2,a3,a4,a6] |
j |
695585746944/347864965 |
j-invariant |
L |
8.1002354153711 |
L(r)(E,1)/r! |
Ω |
1.0125294205016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71995p1 |
Quadratic twists by: -11 |