Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224h |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
951487488 = 210 · 32 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8272,292348] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:756:1] |
Generators of the group modulo torsion |
j |
61137522186052/929187 |
j-invariant |
L |
4.0001111652799 |
L(r)(E,1)/r! |
Ω |
1.4342852406607 |
Real period |
R |
2.788923048136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14448i3 57792bu4 21672e4 50568t4 |
Quadratic twists by: -4 8 -3 -7 |