Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715h |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2918400 |
Modular degree for the optimal curve |
Δ |
4.2360722652436E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1104728,319151306] |
[a1,a2,a3,a4,a6] |
j |
633839779/180075 |
j-invariant |
L |
1.513396945647 |
L(r)(E,1)/r! |
Ω |
0.18917466016793 |
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 |
37905q1 113715g1 |
Quadratic twists by: -3 -19 |