Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bc |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2222899200 = -1 · 214 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31941,2186595] |
[a1,a2,a3,a4,a6] |
Generators |
[102:15:1] |
Generators of the group modulo torsion |
j |
-219969716909056/135675 |
j-invariant |
L |
6.8528688726836 |
L(r)(E,1)/r! |
Ω |
1.2053142223704 |
Real period |
R |
0.71069318954021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64320br1 8040h1 |
Quadratic twists by: -4 8 |