Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328q |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6748529710906368 = 210 · 312 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47472,493308] |
[a1,a2,a3,a4,a6] |
Generators |
[56270:1046892:125] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
4.386616290141 |
L(r)(E,1)/r! |
Ω |
0.36128015117854 |
Real period |
R |
6.070934530767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656bb3 60984z3 168b3 |
Quadratic twists by: -4 -3 -11 |