Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bb |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
139898880 |
Modular degree for the optimal curve |
Δ |
-1.0162712381624E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5990831148,-184948647339472] |
[a1,a2,a3,a4,a6] |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
2.1910537432398 |
L(r)(E,1)/r! |
Ω |
0.0085588037798644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280er1 2790ba1 29760n1 |
Quadratic twists by: -4 8 -3 |