Atkin-Lehner |
2+ 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650l |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-32954369620480000 = -1 · 212 · 54 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187576,-32481402] |
[a1,a2,a3,a4,a6] |
Generators |
[1673:65019:1] |
Generators of the group modulo torsion |
j |
-1167809967751215625/52726991392768 |
j-invariant |
L |
3.2770100307743 |
L(r)(E,1)/r! |
Ω |
0.11440137827733 |
Real period |
R |
1.5913804268763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999924341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650s2 |
Quadratic twists by: 5 |