Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bm |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5077498800000000 = 210 · 3 · 58 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11561008,-15126241988] |
[a1,a2,a3,a4,a6] |
Generators |
[3966:37268:1] |
Generators of the group modulo torsion |
j |
10680482485334708644/317343675 |
j-invariant |
L |
6.8774255836416 |
L(r)(E,1)/r! |
Ω |
0.081874870652661 |
Real period |
R |
5.2499514833699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000032007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440j4 |
Quadratic twists by: 5 |