Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848r |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114946277376 = 216 · 3 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2177,-34815] |
[a1,a2,a3,a4,a6] |
Generators |
[67:340:1] |
Generators of the group modulo torsion |
j |
17418812548/1753941 |
j-invariant |
L |
5.4027382749202 |
L(r)(E,1)/r! |
Ω |
0.70344067348954 |
Real period |
R |
3.8402231193989 |
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 |
22848co4 2856c3 68544cc4 |
Quadratic twists by: -4 8 -3 |