Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cu |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
192193560000 = 26 · 37 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6406460,6239168358] |
[a1,a2,a3,a4,a6] |
j |
454357982636417669333824/3003024375 |
j-invariant |
L |
3.451836278609 |
L(r)(E,1)/r! |
Ω |
0.49311946837272 |
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 |
12480cc1 6240d3 37440du1 62400eo1 |
Quadratic twists by: -4 8 -3 5 |