Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240p |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1275503398400 = 29 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,13700] |
[a1,a2,a3,a4,a6] |
j |
38614472/21175 |
j-invariant |
L |
5.9877362711662 |
L(r)(E,1)/r! |
Ω |
0.74846704694913 |
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 |
86240bv2 12320a2 |
Quadratic twists by: -4 -7 |