Atkin-Lehner |
2+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070c |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-2.6462067962247E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2650024,1678561366] |
[a1,a2,a3,a4,a6] |
j |
-1161760983451591249/14937147500000 |
j-invariant |
L |
1.6967998744238 |
L(r)(E,1)/r! |
Ω |
0.21209998221362 |
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 |
7370c1 |
Quadratic twists by: -11 |