Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bn |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-508477500000000 = -1 · 28 · 38 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13425,-904750] |
[a1,a2,a3,a4,a6] |
Generators |
[865:25650:1] |
Generators of the group modulo torsion |
j |
91765424/174375 |
j-invariant |
L |
7.1235173613842 |
L(r)(E,1)/r! |
Ω |
0.27311032980383 |
Real period |
R |
3.260366134176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600be1 18600a1 11160c1 |
Quadratic twists by: -4 -3 5 |