Atkin-Lehner |
2+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930c |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-56175364333700000 = -1 · 25 · 55 · 177 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -4 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-331634,-74415068] |
[a1,a2,a3,a4,a6] |
j |
-167111158096441/2327300000 |
j-invariant |
L |
0.39756183945899 |
L(r)(E,1)/r! |
Ω |
0.099390577660832 |
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 |
6290e1 |
Quadratic twists by: 17 |