Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600n |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-1235843532800 = -1 · 211 · 52 · 176 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 1 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1445,49130] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:2548:27] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
12.319674388601 |
L(r)(E,1)/r! |
Ω |
0.61342371302436 |
Real period |
R |
5.0208665305055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800x1 115600z1 400h1 |
Quadratic twists by: -4 5 17 |