Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38148l |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-6198825480251184 = -1 · 24 · 33 · 112 · 179 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26203,-3409440] |
[a1,a2,a3,a4,a6] |
j |
1048576/3267 |
j-invariant |
L |
5.8587252140355 |
L(r)(E,1)/r! |
Ω |
0.21698982274159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114444e1 38148b1 |
Quadratic twists by: -3 17 |