Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666cf |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-61420921024436064 = -1 · 25 · 32 · 7 · 1311 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,97594,2121924] |
[a1,a2,a3,a4,a6] |
j |
21297698535959/12724953696 |
j-invariant |
L |
4.285225507718 |
L(r)(E,1)/r! |
Ω |
0.21426136719227 |
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 |
9282g1 |
Quadratic twists by: 13 |