Atkin-Lehner |
2- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45136f |
Isogeny class |
Conductor |
45136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9262528017154048 = -1 · 214 · 72 · 13 · 316 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65075,-7890958] |
[a1,a2,a3,a4,a6] |
Generators |
[24429:700910:27] |
Generators of the group modulo torsion |
j |
-7440571502015625/2261359379188 |
j-invariant |
L |
4.0916138480655 |
L(r)(E,1)/r! |
Ω |
0.147159998496 |
Real period |
R |
4.633974234249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642e2 |
Quadratic twists by: -4 |