Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cj |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
111209741775000000 = 26 · 34 · 58 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-233338,40288292] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:9194:1] |
Generators of the group modulo torsion |
j |
89920811116864729/7117423473600 |
j-invariant |
L |
11.797103193605 |
L(r)(E,1)/r! |
Ω |
0.32598289916694 |
Real period |
R |
0.25131480191978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230c2 |
Quadratic twists by: 5 |