Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100bb |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2337356250000 = 24 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4125,70625] |
[a1,a2,a3,a4,a6] |
j |
1703680/513 |
j-invariant |
L |
1.5177921194845 |
L(r)(E,1)/r! |
Ω |
0.75889605974225 |
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 |
68400gj1 5700h1 17100n1 |
Quadratic twists by: -4 -3 5 |