Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800p |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-185340048750000 = -1 · 24 · 314 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5550,-635375] |
[a1,a2,a3,a4,a6] |
j |
103737344/1016955 |
j-invariant |
L |
1.1223452533017 |
L(r)(E,1)/r! |
Ω |
0.28058631304458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bs1 18600ba1 11160m1 |
Quadratic twists by: -4 -3 5 |