Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20944p |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-185363442446336 = -1 · 212 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -3 1 7- 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6511312,6395152048] |
[a1,a2,a3,a4,a6] |
Generators |
[1609:9163:1] |
Generators of the group modulo torsion |
j |
-7453654902730081529856/45254746691 |
j-invariant |
L |
3.1449368562645 |
L(r)(E,1)/r! |
Ω |
0.38849331680189 |
Real period |
R |
0.22486707837758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1309a1 83776bj1 |
Quadratic twists by: -4 8 |