Atkin-Lehner |
2- 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
38346p |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
10258560 |
Modular degree for the optimal curve |
Δ |
-4.1667208705149E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 7 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64481505,-199326616119] |
[a1,a2,a3,a4,a6] |
j |
-29650307970009309738926213521/4166720870514916589568 |
j-invariant |
L |
4.1555805458163 |
L(r)(E,1)/r! |
Ω |
0.026638336832029 |
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 |
115038o1 |
Quadratic twists by: -3 |