Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73568v |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
346368 |
Modular degree for the optimal curve |
Δ |
-252319266518528 = -1 · 29 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- -1 -4 3 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,-773804] |
[a1,a2,a3,a4,a6] |
j |
-968/19 |
j-invariant |
L |
1.9102039376441 |
L(r)(E,1)/r! |
Ω |
0.23877549322747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73568o1 73568g1 |
Quadratic twists by: -4 -11 |