Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17316b |
Isogeny class |
Conductor |
17316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-269298432 = -1 · 28 · 37 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-4124] |
[a1,a2,a3,a4,a6] |
j |
-65536000/1443 |
j-invariant |
L |
3.0559383194334 |
L(r)(E,1)/r! |
Ω |
0.5093230532389 |
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 |
69264t1 5772c1 |
Quadratic twists by: -4 -3 |