Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467f |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
328032 |
Modular degree for the optimal curve |
Δ |
-2203729286099890707 = -1 · 34 · 679 |
Discriminant |
Eigenvalues |
0 3- 4 -4 -4 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,200509,62572628] |
[a1,a2,a3,a4,a6] |
j |
32768/81 |
j-invariant |
L |
1.4525662616661 |
L(r)(E,1)/r! |
Ω |
0.18157078270827 |
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 |
40401g1 13467a1 |
Quadratic twists by: -3 -67 |