Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20944g |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-16420096 = -1 · 28 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11- -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1962:1] |
Generators of the group modulo torsion |
j |
9148592/64141 |
j-invariant |
L |
5.5606151402105 |
L(r)(E,1)/r! |
Ω |
1.0954841220313 |
Real period |
R |
5.0759431637401 |
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 |
5236c1 83776t1 |
Quadratic twists by: -4 8 |