Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467g |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159460 |
Modular degree for the optimal curve |
Δ |
81619603188884841 = 3 · 679 |
Discriminant |
Eigenvalues |
-1 3- 2 4 4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119052,-7823145] |
[a1,a2,a3,a4,a6] |
j |
6859/3 |
j-invariant |
L |
3.3441236895128 |
L(r)(E,1)/r! |
Ω |
0.26752989516103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40401h1 13467b1 |
Quadratic twists by: -3 -67 |