Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715g |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
900412995825 = 37 · 52 · 74 · 193 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3060,-45725] |
[a1,a2,a3,a4,a6] |
j |
633839779/180075 |
j-invariant |
L |
2.622999017341 |
L(r)(E,1)/r! |
Ω |
0.65574980711065 |
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 |
37905f1 113715h1 |
Quadratic twists by: -3 -19 |