Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466d |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
67125357387403084 = 22 · 7 · 113 · 239 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-164795,22517002] |
[a1,a2,a3,a4,a6] |
Generators |
[895:-24782:1] [-71:5854:1] |
Generators of the group modulo torsion |
j |
3343374301177/453439756 |
j-invariant |
L |
7.1759453312685 |
L(r)(E,1)/r! |
Ω |
0.33464760268808 |
Real period |
R |
2.6804111525222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542i1 |
Quadratic twists by: -23 |