Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4400r |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-21296000000000 = -1 · 213 · 59 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3592,207188] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2750:1] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
4.151546901297 |
L(r)(E,1)/r! |
Ω |
0.48607716552817 |
Real period |
R |
0.35587172810189 |
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 |
550a2 17600br2 39600db2 880f2 |
Quadratic twists by: -4 8 -3 5 |