Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11152l |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
49698308096 = 222 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 2 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3779,88770] |
[a1,a2,a3,a4,a6] |
j |
1457117049753/12133376 |
j-invariant |
L |
2.2668877056685 |
L(r)(E,1)/r! |
Ω |
1.1334438528343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394b1 44608z1 100368cb1 |
Quadratic twists by: -4 8 -3 |