Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
19355a |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
325299485 = 5 · 77 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 3 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,1462] |
[a1,a2,a3,a4,a6] |
j |
16777216/2765 |
j-invariant |
L |
3.2764290560562 |
L(r)(E,1)/r! |
Ω |
1.6382145280281 |
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 |
96775b1 2765b1 |
Quadratic twists by: 5 -7 |