Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540f |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-711776646000 = -1 · 24 · 311 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2186,57261] |
[a1,a2,a3,a4,a6] |
j |
-1474201259776/907878375 |
j-invariant |
L |
0.83603458273204 |
L(r)(E,1)/r! |
Ω |
0.83603466809308 |
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 |
120540bg1 |
Quadratic twists by: -7 |