Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328m |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
176787615312 = 24 · 34 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251599,-48658810] |
[a1,a2,a3,a4,a6] |
j |
62140690757632/6237 |
j-invariant |
L |
1.7053446881144 |
L(r)(E,1)/r! |
Ω |
0.2131680860143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656l1 60984cg1 1848j1 |
Quadratic twists by: -4 -3 -11 |