Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176y |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-39517632 = -1 · 26 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-268] |
[a1,a2,a3,a4,a6] |
Generators |
[29:160:1] |
Generators of the group modulo torsion |
j |
314432/847 |
j-invariant |
L |
6.6536717144859 |
L(r)(E,1)/r! |
Ω |
1.0517961212497 |
Real period |
R |
3.1630044930097 |
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 |
22176c1 44352ce2 2464f1 |
Quadratic twists by: -4 8 -3 |