Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cw |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-28753920 = -1 · 214 · 33 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,-45] |
[a1,a2,a3,a4,a6] |
j |
2809856/1755 |
j-invariant |
L |
3.6275923508372 |
L(r)(E,1)/r! |
Ω |
1.2091974502791 |
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 |
12480j1 3120p1 37440dw1 62400er1 |
Quadratic twists by: -4 8 -3 5 |