Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320s |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.2161026325655E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36669056,85477429356] |
[a1,a2,a3,a4,a6] |
Generators |
[2605318523089838:-703642764465151029:35481557656] |
Generators of the group modulo torsion |
j |
56594125707224978/1262172375 |
j-invariant |
L |
4.1437553276761 |
L(r)(E,1)/r! |
Ω |
0.17203462396807 |
Real period |
R |
24.086752027558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640r4 129960bi4 2280c3 |
Quadratic twists by: -4 -3 -19 |