Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bk |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-92480000000 = -1 · 212 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-8012] |
[a1,a2,a3,a4,a6] |
j |
5831/5 |
j-invariant |
L |
4.7236427761775 |
L(r)(E,1)/r! |
Ω |
0.59045550182027 |
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 |
7225d1 23120bg1 115600ci1 |
Quadratic twists by: -4 5 17 |