Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bk |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
959343616 = 210 · 7 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11+ 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1836,-29777] |
[a1,a2,a3,a4,a6] |
j |
56225905191/78848 |
j-invariant |
L |
14.588694716296 |
L(r)(E,1)/r! |
Ω |
0.72943473688615 |
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 |
81466bh1 |
Quadratic twists by: -23 |