Atkin-Lehner |
3- 11+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69597c |
Isogeny class |
Conductor |
69597 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3963061971 = 36 · 11 · 192 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-396,297] |
[a1,a2,a3,a4,a6] |
Generators |
[232:3399:1] |
Generators of the group modulo torsion |
j |
9434056897/5436299 |
j-invariant |
L |
8.7220472576497 |
L(r)(E,1)/r! |
Ω |
1.1859068054771 |
Real period |
R |
3.6773746541855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7733c2 |
Quadratic twists by: -3 |