Atkin-Lehner |
2- 5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610o |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2224831768318476800 = 29 · 52 · 78 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24658723,-47124490269] |
[a1,a2,a3,a4,a6] |
Generators |
[-2865:1602:1] |
Generators of the group modulo torsion |
j |
1658194391058885730196816769/2224831768318476800 |
j-invariant |
L |
6.4907989897847 |
L(r)(E,1)/r! |
Ω |
0.067749632769758 |
Real period |
R |
1.3306343117106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050p4 |
Quadratic twists by: 5 |