Atkin-Lehner |
17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11849b |
Isogeny class |
Conductor |
11849 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-480776178591161 = -1 · 178 · 413 |
Discriminant |
Eigenvalues |
-1 -3 1 1 -3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18117,-1407498] |
[a1,a2,a3,a4,a6] |
j |
-94268961/68921 |
j-invariant |
L |
0.19937845038269 |
L(r)(E,1)/r! |
Ω |
0.19937845038269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641j1 11849a1 |
Quadratic twists by: -3 17 |