Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720o |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-389371940352000 = -1 · 212 · 315 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7861,-983939] |
[a1,a2,a3,a4,a6] |
j |
-13117540040704/95061508875 |
j-invariant |
L |
0.22454790487823 |
L(r)(E,1)/r! |
Ω |
0.22454790487823 |
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 |
795c1 50880ee1 38160cf1 63600db1 |
Quadratic twists by: -4 8 -3 5 |