Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cb |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3778019983360000 = 220 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55468,-4066608] |
[a1,a2,a3,a4,a6] |
Generators |
[6316:501600:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
4.0811901762846 |
L(r)(E,1)/r! |
Ω |
0.31544960549563 |
Real period |
R |
6.4688465371072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15680f2 3920ba2 78400gy2 2240y2 |
Quadratic twists by: -4 8 5 -7 |