Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710f |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
-2.0175183245178E+27 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,136843902,2071419076852] |
[a1,a2,a3,a4,a6] |
j |
6023909647291870865231/42884058745074483200 |
j-invariant |
L |
0.54222480206428 |
L(r)(E,1)/r! |
Ω |
0.033889050126892 |
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 |
2090k1 |
Quadratic twists by: -19 |