Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472q |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3638048256 = 29 · 39 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,2430] |
[a1,a2,a3,a4,a6] |
Generators |
[37:190:1] |
Generators of the group modulo torsion |
j |
1061208/361 |
j-invariant |
L |
4.0940752438431 |
L(r)(E,1)/r! |
Ω |
1.2901401980771 |
Real period |
R |
1.5866784284162 |
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 |
5472a2 10944d2 5472b2 103968c2 |
Quadratic twists by: -4 8 -3 -19 |