Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bh |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1188102207480615 = -1 · 37 · 5 · 76 · 314 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26451,86008] |
[a1,a2,a3,a4,a6] |
Generators |
[5876:113009:64] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
8.2712372482416 |
L(r)(E,1)/r! |
Ω |
0.29284857988162 |
Real period |
R |
7.0610187456032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785e3 1395a4 |
Quadratic twists by: -3 -7 |