Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560y |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-101699270737920 = -1 · 219 · 312 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77403,8302858] |
[a1,a2,a3,a4,a6] |
j |
-17175508997401/34058880 |
j-invariant |
L |
2.3926655012476 |
L(r)(E,1)/r! |
Ω |
0.59816637530357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570w1 17520z1 |
Quadratic twists by: -4 -3 |