Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19118j |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
8594366056540143616 = 222 · 1110 · 79 |
Discriminant |
Eigenvalues |
2- 3 3 -1 11- -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2704131,1706404483] |
[a1,a2,a3,a4,a6] |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
10.261830578288 |
L(r)(E,1)/r! |
Ω |
0.23322342223382 |
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 |
1738c1 |
Quadratic twists by: -11 |