Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780l |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-591882390000 = -1 · 24 · 36 · 54 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2973,-72547] |
[a1,a2,a3,a4,a6] |
j |
-249150021376/50744375 |
j-invariant |
L |
1.9186293556896 |
L(r)(E,1)/r! |
Ω |
0.31977144701708 |
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 |
13420j1 |
Quadratic twists by: -3 |