Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cl |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-102942875000000 = -1 · 26 · 59 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25741,-1654309] |
[a1,a2,a3,a4,a6] |
Generators |
[409838:52675:2197] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
3.313115734385 |
L(r)(E,1)/r! |
Ω |
0.1878609307254 |
Real period |
R |
8.8180009584534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680j3 3920bc3 78400hn3 2240w3 |
Quadratic twists by: -4 8 5 -7 |