Atkin-Lehner |
2- 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490ba |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
28858500 = 22 · 32 · 53 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116,396] |
[a1,a2,a3,a4,a6] |
j |
172715635009/28858500 |
j-invariant |
L |
4.0071416012196 |
L(r)(E,1)/r! |
Ω |
2.0035708006098 |
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 |
52470j1 87450h1 |
Quadratic twists by: -3 5 |