Atkin-Lehner |
2+ 3- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
62568b |
Isogeny class |
Conductor |
62568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90880 |
Modular degree for the optimal curve |
Δ |
-56986141538304 = -1 · 211 · 37 · 115 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8637,-190946] |
[a1,a2,a3,a4,a6] |
j |
47725994878/38169087 |
j-invariant |
L |
0.69634735348814 |
L(r)(E,1)/r! |
Ω |
0.34817367847079 |
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 |
125136d1 20856a1 |
Quadratic twists by: -4 -3 |