Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828r |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1114291006532352 = 28 · 35 · 112 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-683644,-217333400] |
[a1,a2,a3,a4,a6] |
j |
932410994128/29403 |
j-invariant |
L |
1.328259129903 |
L(r)(E,1)/r! |
Ω |
0.16603239088074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
132b2 |
Quadratic twists by: -23 |