Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120m |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5218617600 = 28 · 32 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,1824] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:72:1] |
Generators of the group modulo torsion |
j |
46689225424/20385225 |
j-invariant |
L |
5.0360302929216 |
L(r)(E,1)/r! |
Ω |
1.2255106598553 |
Real period |
R |
2.0546660497898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72240e2 108360bt2 |
Quadratic twists by: -4 -3 |