Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360l |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
59639490000 = 24 · 310 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24618,-1486667] |
[a1,a2,a3,a4,a6] |
Generators |
[-304590:13247:3375] |
Generators of the group modulo torsion |
j |
141460276688896/5113125 |
j-invariant |
L |
5.9276759675764 |
L(r)(E,1)/r! |
Ω |
0.38114243544461 |
Real period |
R |
7.776195217757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72720d1 12120j1 |
Quadratic twists by: -4 -3 |