Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152q |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-38392856576 = -1 · 215 · 17 · 413 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 3 -7 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992,15616] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-82:1] |
Generators of the group modulo torsion |
j |
-26383748833/9373256 |
j-invariant |
L |
2.1701348341206 |
L(r)(E,1)/r! |
Ω |
1.0855671747334 |
Real period |
R |
0.33317987816732 |
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 |
1394g1 44608bg1 100368bs1 |
Quadratic twists by: -4 8 -3 |