Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930i |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
56260208000 = 27 · 53 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1962658,-1059133452] |
[a1,a2,a3,a4,a6] |
Generators |
[2948168508703112026479668716662:31745926368527699921132115941641:1760121186124691282833016712] |
Generators of the group modulo torsion |
j |
68718621101535227087/4624000 |
j-invariant |
L |
6.3318469701831 |
L(r)(E,1)/r! |
Ω |
0.12755232188519 |
Real period |
R |
49.641173672861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89930p2 |
Quadratic twists by: -23 |