Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360y |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
6518154240 = 210 · 35 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12520,535040] |
[a1,a2,a3,a4,a6] |
j |
211968550357924/6365385 |
j-invariant |
L |
6.2210078758502 |
L(r)(E,1)/r! |
Ω |
1.2442015751325 |
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 |
96720j1 |
Quadratic twists by: -4 |