Atkin-Lehner |
2+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550j |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25425125000000 = 26 · 59 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41492,3254416] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:803:1] [0:1804:1] |
Generators of the group modulo torsion |
j |
4044759171237/13017664 |
j-invariant |
L |
5.8637782749604 |
L(r)(E,1)/r! |
Ω |
0.67329344589825 |
Real period |
R |
2.1772743781641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22550bd2 |
Quadratic twists by: 5 |