Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400by |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-77948684000000 = -1 · 28 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8067,-317737] |
[a1,a2,a3,a4,a6] |
Generators |
[6393:104302:27] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
6.2194046446241 |
L(r)(E,1)/r! |
Ω |
0.32549544984863 |
Real period |
R |
4.7768752585536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12100e1 1936h1 4400s1 |
Quadratic twists by: -4 5 -11 |