Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190h |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-2000108979375000 = -1 · 23 · 3 · 57 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -5 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-238293,44725413] |
[a1,a2,a3,a4,a6] |
j |
-310027558782241/414375000 |
j-invariant |
L |
1.860582210935 |
L(r)(E,1)/r! |
Ω |
0.46514554019464 |
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 |
6630u1 |
Quadratic twists by: 13 |