Atkin-Lehner |
5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66785c |
Isogeny class |
Conductor |
66785 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1669625 = -1 · 53 · 192 · 37 |
Discriminant |
Eigenvalues |
-1 3 5+ 0 -4 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27,22] |
[a1,a2,a3,a4,a6] |
j |
6241671/4625 |
j-invariant |
L |
1.697885121082 |
L(r)(E,1)/r! |
Ω |
1.6978851060319 |
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 |
66785a1 |
Quadratic twists by: -19 |