Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472r |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1212682752 = -1 · 29 · 38 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[5:38:1] |
Generators of the group modulo torsion |
j |
-125000/3249 |
j-invariant |
L |
3.9418145615765 |
L(r)(E,1)/r! |
Ω |
1.2866391284294 |
Real period |
R |
0.76591300436906 |
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 |
5472i2 10944y2 1824a2 103968t2 |
Quadratic twists by: -4 8 -3 -19 |