Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320x |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.4456875E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289698523,-1898206767222] |
[a1,a2,a3,a4,a6] |
Generators |
[71668040079265917402533464641149:14009985093215429566656322207031250:1575178796961767121359527531] |
Generators of the group modulo torsion |
j |
-656451442756561688058105009/132951354980468750000 |
j-invariant |
L |
3.2151398034404 |
L(r)(E,1)/r! |
Ω |
0.018296908320003 |
Real period |
R |
43.930096638261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790m2 |
Quadratic twists by: -4 |