Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680ba |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-16441671680000000 = -1 · 232 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58772,2825648] |
[a1,a2,a3,a4,a6] |
j |
1747829720511/1280000000 |
j-invariant |
L |
4.4844669872611 |
L(r)(E,1)/r! |
Ω |
0.24913705484784 |
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 |
15680cw2 490k2 78400dk2 15680bl2 |
Quadratic twists by: -4 8 5 -7 |