Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97608x |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-7232941041322752 = -1 · 28 · 310 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6092,4093872] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:2058:1] |
Generators of the group modulo torsion |
j |
-830321872/240152283 |
j-invariant |
L |
10.535315055359 |
L(r)(E,1)/r! |
Ω |
0.34072364137474 |
Real period |
R |
0.77301027591817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13944k2 |
Quadratic twists by: -7 |