Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012w |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-473899888 = -1 · 24 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3177725,2180331753] |
[a1,a2,a3,a4,a6] |
j |
-767458355651388000000/102487 |
j-invariant |
L |
2.631256664152 |
L(r)(E,1)/r! |
Ω |
0.65781418567323 |
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 |
89012g1 |
Quadratic twists by: 17 |