Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900ba |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
11245869228000000 = 28 · 3 · 56 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255508,-49534012] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:198:1] |
Generators of the group modulo torsion |
j |
461188987116496/2811467307 |
j-invariant |
L |
8.5888990469486 |
L(r)(E,1)/r! |
Ω |
0.21242604083377 |
Real period |
R |
2.2462455935232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036e2 |
Quadratic twists by: 5 |