Atkin-Lehner |
2- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550p |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
11696000000000 = 213 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 0 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9463,-314583] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1909:1] [-64:205:1] |
Generators of the group modulo torsion |
j |
5997815120809/748544000 |
j-invariant |
L |
8.8281101386416 |
L(r)(E,1)/r! |
Ω |
0.48801895916722 |
Real period |
R |
0.34787859289256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310g1 |
Quadratic twists by: 5 |