Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800iv |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-28449792000000 = -1 · 216 · 34 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-256012] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
4.9974054079972 |
L(r)(E,1)/r! |
Ω |
0.31233783809416 |
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 |
7350bv1 2352q1 58800ga1 |
Quadratic twists by: -4 5 -7 |