Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680s |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-48189030400 = -1 · 214 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,719,-7281] |
[a1,a2,a3,a4,a6] |
j |
21296/25 |
j-invariant |
L |
1.2155924308195 |
L(r)(E,1)/r! |
Ω |
0.60779621540974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680cp2 980g2 78400cb2 320c2 |
Quadratic twists by: -4 8 5 -7 |