Atkin-Lehner |
2+ 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728g |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-161155795968 = -1 · 210 · 38 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1312,6660] |
[a1,a2,a3,a4,a6] |
Generators |
[22:216:1] |
Generators of the group modulo torsion |
j |
243721701500/157378707 |
j-invariant |
L |
8.6103863045615 |
L(r)(E,1)/r! |
Ω |
0.6380812082792 |
Real period |
R |
0.84338660509803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33864a2 |
Quadratic twists by: -4 |