Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344bb |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14384515928832 = -1 · 28 · 33 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4884,125028] |
[a1,a2,a3,a4,a6] |
j |
427694384/477603 |
j-invariant |
L |
3.7411589204446 |
L(r)(E,1)/r! |
Ω |
0.46764486505558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688bf2 67032bh2 3192o2 |
Quadratic twists by: -4 -3 -7 |