Atkin-Lehner |
2- 3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582k |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16160 |
Modular degree for the optimal curve |
Δ |
-198530514 = -1 · 2 · 35 · 7 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,134,377] |
[a1,a2,a3,a4,a6] |
j |
265971760991/198530514 |
j-invariant |
L |
2.2825895926815 |
L(r)(E,1)/r! |
Ω |
1.1412947963423 |
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 |
109746i1 |
Quadratic twists by: -3 |