Atkin-Lehner |
2- 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470v |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4187904 |
Modular degree for the optimal curve |
Δ |
-6.85344E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21804301,131900741123] |
[a1,a2,a3,a4,a6] |
j |
-1146437066980154617431136849/6853440000000000000000000 |
j-invariant |
L |
3.0996981457404 |
L(r)(E,1)/r! |
Ω |
0.064577044702925 |
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 |
58410k1 97350bc1 |
Quadratic twists by: -3 5 |