Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275bc |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-7295472341015625 = -1 · 37 · 58 · 135 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48258,476041] |
[a1,a2,a3,a4,a6] |
j |
43645456895/25619217 |
j-invariant |
L |
0.5077366856908 |
L(r)(E,1)/r! |
Ω |
0.25386834099851 |
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 |
22425i1 67275p1 |
Quadratic twists by: -3 5 |