Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21912i |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15364343808 = -1 · 211 · 32 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80,5984] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:54:1] |
Generators of the group modulo torsion |
j |
27303838/7502121 |
j-invariant |
L |
5.4667175983925 |
L(r)(E,1)/r! |
Ω |
0.96329547690851 |
Real period |
R |
2.8375081838528 |
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 |
43824c2 65736e2 |
Quadratic twists by: -4 -3 |