Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1852877124403200 = 220 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4540705,3725713825] |
[a1,a2,a3,a4,a6] |
j |
39496057701398850889/7068165300 |
j-invariant |
L |
2.9554702973345 |
L(r)(E,1)/r! |
Ω |
0.36943370968696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fw4 3990m3 |
Quadratic twists by: -4 8 |