Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
646b |
Isogeny class |
Conductor |
646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
28377488 = 24 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 2 2 0 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77,-77] |
[a1,a2,a3,a4,a6] |
j |
50529889873/28377488 |
j-invariant |
L |
3.4666091771646 |
L(r)(E,1)/r! |
Ω |
1.7333045885823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5168i1 20672l1 5814g1 16150f1 |
Quadratic twists by: -4 8 -3 5 |