Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11328q |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-22550151168 = -1 · 219 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,607,4575] |
[a1,a2,a3,a4,a6] |
Generators |
[7:96:1] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
5.8113644505812 |
L(r)(E,1)/r! |
Ω |
0.78698522512237 |
Real period |
R |
0.30768072603044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11328a1 2832a1 33984br1 |
Quadratic twists by: -4 8 -3 |