Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20944h |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1.221739558453E+21 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,297432,1680635572] |
[a1,a2,a3,a4,a6] |
j |
710436683544572375/298276259387932672 |
j-invariant |
L |
0.95483961328304 |
L(r)(E,1)/r! |
Ω |
0.11935495166038 |
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 |
2618c1 83776u1 |
Quadratic twists by: -4 8 |