Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bg |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
831600 |
Modular degree for the optimal curve |
Δ |
-83739810625254000 = -1 · 24 · 311 · 53 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107130,-19426275] |
[a1,a2,a3,a4,a6] |
j |
-1474201259776/907878375 |
j-invariant |
L |
4.2355625774974 |
L(r)(E,1)/r! |
Ω |
0.12835037913778 |
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 |
120540f1 |
Quadratic twists by: -7 |