Atkin-Lehner |
2- 3- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780t |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1562880 |
Modular degree for the optimal curve |
Δ |
-69322439498400000 = -1 · 28 · 317 · 55 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,76713,-9674066] |
[a1,a2,a3,a4,a6] |
j |
267524227910576/371455115625 |
j-invariant |
L |
5.5337693123382 |
L(r)(E,1)/r! |
Ω |
0.18445899944289 |
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 |
40260i1 |
Quadratic twists by: -3 |