Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200ce |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3353400000000 = 29 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,102488] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:450:1] |
Generators of the group modulo torsion |
j |
1736654408/419175 |
j-invariant |
L |
6.2364022858048 |
L(r)(E,1)/r! |
Ω |
0.74566566539638 |
Real period |
R |
0.69696140589022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200g2 110400c2 11040e2 |
Quadratic twists by: -4 8 5 |