Atkin-Lehner |
2+ 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110p |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
322730224742250 = 2 · 38 · 53 · 134 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19890,652050] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:614:1] |
Generators of the group modulo torsion |
j |
1193748434929441/442702640250 |
j-invariant |
L |
5.1064976666936 |
L(r)(E,1)/r! |
Ω |
0.4959996580045 |
Real period |
R |
1.286920663985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370bm2 |
Quadratic twists by: -3 |