Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cd |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2474901605124000 = 25 · 312 · 53 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139967798,637403068581] |
[a1,a2,a3,a4,a6] |
j |
415987778677867300700391961/3394926756000 |
j-invariant |
L |
4.5322661158504 |
L(r)(E,1)/r! |
Ω |
0.22661330118731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370k2 |
Quadratic twists by: -3 |