Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280bg |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
8831526502400 = 230 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12332,507344] |
[a1,a2,a3,a4,a6] |
j |
791196465249/33689600 |
j-invariant |
L |
1.4504390962952 |
L(r)(E,1)/r! |
Ω |
0.72521957500363 |
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 |
105280m1 26320g1 |
Quadratic twists by: -4 8 |