Atkin-Lehner |
3- 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68265h |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2430400 |
Modular degree for the optimal curve |
Δ |
-4.9247878400552E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 0 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2976708,-2005381062] |
[a1,a2,a3,a4,a6] |
j |
-4001334767929099288576/67555388752471875 |
j-invariant |
L |
0.8037634036059 |
L(r)(E,1)/r! |
Ω |
0.057411671428787 |
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 |
22755h1 |
Quadratic twists by: -3 |