Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cn |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-66056074218750 = -1 · 2 · 3 · 510 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56263,-5156233] |
[a1,a2,a3,a4,a6] |
Generators |
[284710:1244701:1000] |
Generators of the group modulo torsion |
j |
-2016939204025/6764142 |
j-invariant |
L |
8.2515714936954 |
L(r)(E,1)/r! |
Ω |
0.15496249265627 |
Real period |
R |
10.649766085008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400do2 34650bd2 11550o1 80850eu2 |
Quadratic twists by: -4 -3 5 -7 |