Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38148m |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-203099952 = -1 · 24 · 3 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,692] |
[a1,a2,a3,a4,a6] |
j |
278528/43923 |
j-invariant |
L |
5.4971332068124 |
L(r)(E,1)/r! |
Ω |
1.3742833017014 |
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 |
114444f1 38148c1 |
Quadratic twists by: -3 17 |