Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715j |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4243200 |
Modular degree for the optimal curve |
Δ |
-5.4263757822474E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,39957,354402454] |
[a1,a2,a3,a4,a6] |
j |
1410957725696/10852293597705 |
j-invariant |
L |
0.62733695522234 |
L(r)(E,1)/r! |
Ω |
0.15683421297203 |
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 |
37905g1 113715i1 |
Quadratic twists by: -3 -19 |