Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22560d |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8663040 = 212 · 32 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11281,457439] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1008:1] |
Generators of the group modulo torsion |
j |
38765470475584/2115 |
j-invariant |
L |
5.5788132181392 |
L(r)(E,1)/r! |
Ω |
1.7423094659684 |
Real period |
R |
3.2019645918863 |
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 |
22560i4 45120n1 67680x4 112800bj4 |
Quadratic twists by: -4 8 -3 5 |