Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14278f |
Isogeny class |
Conductor |
14278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-418088396 = -1 · 22 · 116 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 1 11- 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58,-945] |
[a1,a2,a3,a4,a6] |
Generators |
[61:453:1] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
4.8040784252154 |
L(r)(E,1)/r! |
Ω |
0.81679837636301 |
Real period |
R |
1.4703991107961 |
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 |
114224s1 128502bb1 118a1 |
Quadratic twists by: -4 -3 -11 |