Atkin-Lehner |
2- 3+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
47472b |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1118060544 = -1 · 214 · 3 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 -3 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96,1536] |
[a1,a2,a3,a4,a6] |
Generators |
[5:46:1] |
Generators of the group modulo torsion |
j |
23639903/272964 |
j-invariant |
L |
6.4732232292858 |
L(r)(E,1)/r! |
Ω |
1.1411802270027 |
Real period |
R |
1.4180983590758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934j1 |
Quadratic twists by: -4 |