Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680dj |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
723136637440000 = 212 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160132,-24630144] |
[a1,a2,a3,a4,a6] |
j |
942344950464/1500625 |
j-invariant |
L |
0.95473215817704 |
L(r)(E,1)/r! |
Ω |
0.23868303954426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15680di2 7840p1 78400gq2 2240o2 |
Quadratic twists by: -4 8 5 -7 |