Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7245i |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3099483486225 = 314 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3645,0] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2424:1] |
Generators of the group modulo torsion |
j |
7347774183121/4251692025 |
j-invariant |
L |
4.4681348773806 |
L(r)(E,1)/r! |
Ω |
0.6739520401209 |
Real period |
R |
3.3148759936828 |
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 |
115920dh2 2415h2 36225bo2 50715bq2 |
Quadratic twists by: -4 -3 5 -7 |