Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360f |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-22632480000000 = -1 · 211 · 33 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2536,233264] |
[a1,a2,a3,a4,a6] |
j |
-881074735058/11051015625 |
j-invariant |
L |
3.4484231187304 |
L(r)(E,1)/r! |
Ω |
0.57473718652294 |
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 |
96720g1 |
Quadratic twists by: -4 |