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 |
-198374596164045 = -1 · 310 · 5 · 74 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14580,-10935] |
[a1,a2,a3,a4,a6] |
Generators |
[432:9099:1] |
Generators of the group modulo torsion |
j |
470166844956479/272118787605 |
j-invariant |
L |
4.4681348773806 |
L(r)(E,1)/r! |
Ω |
0.33697602006045 |
Real period |
R |
1.6574379968414 |
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 |
115920dh3 2415h4 36225bo3 50715bq3 |
Quadratic twists by: -4 -3 5 -7 |