Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120by |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-53738630807552000 = -1 · 240 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 1 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21332,11088592] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:1372:1] |
Generators of the group modulo torsion |
j |
4095232047999/204996608000 |
j-invariant |
L |
2.7952454274391 |
L(r)(E,1)/r! |
Ω |
0.26911075875514 |
Real period |
R |
5.1934851529255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998828886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120j1 31280bd1 |
Quadratic twists by: -4 8 |