Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680bh |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-76832000000000 = -1 · 214 · 59 · 74 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3855,410257] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:280:1] [-33:496:1] |
Generators of the group modulo torsion |
j |
161017136/1953125 |
j-invariant |
L |
5.941758596687 |
L(r)(E,1)/r! |
Ω |
0.45165883150003 |
Real period |
R |
0.12180938236045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680da2 980a2 78400e2 15680n2 |
Quadratic twists by: -4 8 5 -7 |