Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bs |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
348572160000 = 212 · 34 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2841,-49959] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:56:1] |
Generators of the group modulo torsion |
j |
619341701824/85100625 |
j-invariant |
L |
4.0176889573504 |
L(r)(E,1)/r! |
Ω |
0.65987128211781 |
Real period |
R |
3.0442974760596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360cp2 19680bd1 118080ez2 |
Quadratic twists by: -4 8 -3 |