Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472p |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4990464 = 29 · 33 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,90] |
[a1,a2,a3,a4,a6] |
j |
1061208/361 |
j-invariant |
L |
2.2345883719566 |
L(r)(E,1)/r! |
Ω |
2.2345883719566 |
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 |
5472b2 10944f2 5472a2 103968d2 |
Quadratic twists by: -4 8 -3 -19 |