Atkin-Lehner |
23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35443b |
Isogeny class |
Conductor |
35443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54450 |
Modular degree for the optimal curve |
Δ |
-9918404563 = -1 · 236 · 67 |
Discriminant |
Eigenvalues |
2 -2 -2 2 4 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6524,200721] |
[a1,a2,a3,a4,a6] |
j |
-207474688/67 |
j-invariant |
L |
1.2635841716885 |
L(r)(E,1)/r! |
Ω |
1.2635841716817 |
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 |
67a1 |
Quadratic twists by: -23 |