Atkin-Lehner |
3- 11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17391l |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-624980367 = -1 · 34 · 114 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-352,2783] |
[a1,a2,a3,a4,a6] |
j |
-4824238966273/624980367 |
j-invariant |
L |
1.5745363192738 |
L(r)(E,1)/r! |
Ω |
1.5745363192738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52173c1 |
Quadratic twists by: -3 |