Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516b |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-183970387931904 = -1 · 28 · 38 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 -4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,585844] |
[a1,a2,a3,a4,a6] |
j |
57344/171 |
j-invariant |
L |
0.80118770639302 |
L(r)(E,1)/r! |
Ω |
0.40059385319746 |
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 |
11172m1 33516g1 |
Quadratic twists by: -3 -7 |