Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810dd |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-1561292156933913600 = -1 · 210 · 33 · 52 · 7 · 199 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-338806,96800420] |
[a1,a2,a3,a4,a6] |
j |
-13328910811/4838400 |
j-invariant |
L |
7.5575342407805 |
L(r)(E,1)/r! |
Ω |
0.25191780725924 |
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 |
75810j1 |
Quadratic twists by: -19 |