Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680dp |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3305767485440 = -1 · 214 · 5 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157845,-24085235] |
[a1,a2,a3,a4,a6] |
j |
-225637236736/1715 |
j-invariant |
L |
2.1556781980879 |
L(r)(E,1)/r! |
Ω |
0.11975989989377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680bo2 3920u2 78400hi2 2240p2 |
Quadratic twists by: -4 8 5 -7 |