Atkin-Lehner |
3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613f |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-89793127827 = -1 · 33 · 137 · 53 |
Discriminant |
Eigenvalues |
2 3+ 4 4 -1 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,507,13731] |
[a1,a2,a3,a4,a6] |
j |
110592/689 |
j-invariant |
L |
12.444325268348 |
L(r)(E,1)/r! |
Ω |
0.77777033051421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80613c1 6201b1 |
Quadratic twists by: -3 13 |