Atkin-Lehner |
2- 3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550ch |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
21326250 = 2 · 3 · 54 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 1 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438,-3558] |
[a1,a2,a3,a4,a6] |
j |
14870583025/34122 |
j-invariant |
L |
8.3497933598195 |
L(r)(E,1)/r! |
Ω |
1.0437241725427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550d1 |
Quadratic twists by: 5 |