Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328l |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
70567958828860416 = 210 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289472,58470960] |
[a1,a2,a3,a4,a6] |
j |
1478729816932/38900169 |
j-invariant |
L |
2.7628651416235 |
L(r)(E,1)/r! |
Ω |
0.34535814270293 |
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 |
40656k2 60984cj2 1848k2 |
Quadratic twists by: -4 -3 -11 |