Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cc |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
536750293008384 = 214 · 34 · 72 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20944,351424] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:816:1] [-102:1190:1] |
Generators of the group modulo torsion |
j |
248063797363537/131042552004 |
j-invariant |
L |
8.3780703856856 |
L(r)(E,1)/r! |
Ω |
0.45621628318516 |
Real period |
R |
4.5910627778826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282s2 |
Quadratic twists by: -4 |