Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384h |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
12905975808 = 212 · 33 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648,-3024] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:10:1] |
Generators of the group modulo torsion |
j |
7357983625/3150873 |
j-invariant |
L |
5.2833718412012 |
L(r)(E,1)/r! |
Ω |
0.98341529347063 |
Real period |
R |
2.6862363623134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3399a1 |
Quadratic twists by: -4 |