Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432y |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115035814776802304 = 210 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377504,-621609316] |
[a1,a2,a3,a4,a6] |
j |
1354435492/539 |
j-invariant |
L |
2.2297525346581 |
L(r)(E,1)/r! |
Ω |
0.13935953339472 |
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 |
94864y2 6776h2 4312d2 |
Quadratic twists by: -4 -7 -11 |