Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22792f |
Isogeny class |
Conductor |
22792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
8427433168 = 24 · 76 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1270,-16851] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:21:1] |
Generators of the group modulo torsion |
j |
14158423296000/526714573 |
j-invariant |
L |
4.8383677424908 |
L(r)(E,1)/r! |
Ω |
0.80157041590682 |
Real period |
R |
1.0060184454739 |
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 |
45584a1 |
Quadratic twists by: -4 |