Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320m |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1118019594240 = 211 · 310 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3696,68724] |
[a1,a2,a3,a4,a6] |
Generators |
[12:162:1] |
Generators of the group modulo torsion |
j |
2727138195938/545908005 |
j-invariant |
L |
5.5368998558023 |
L(r)(E,1)/r! |
Ω |
0.82447149344002 |
Real period |
R |
0.67156959335248 |
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 |
5160g2 41280cg2 30960o2 51600e2 |
Quadratic twists by: -4 8 -3 5 |