Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22560d |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
98677440000 = 29 · 38 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176,-3960] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] |
Generators of the group modulo torsion |
j |
351596839112/192729375 |
j-invariant |
L |
5.5788132181392 |
L(r)(E,1)/r! |
Ω |
0.87115473298421 |
Real period |
R |
0.80049114797157 |
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 |
22560i3 45120n4 67680x3 112800bj3 |
Quadratic twists by: -4 8 -3 5 |