Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320a |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14377824000000 = 211 · 35 · 56 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8576,248160] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:500:1] |
Generators of the group modulo torsion |
j |
34064240990978/7020421875 |
j-invariant |
L |
3.6677281170118 |
L(r)(E,1)/r! |
Ω |
0.66553344563026 |
Real period |
R |
1.377739969754 |
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 |
5160l2 41280dm2 30960g2 51600z2 |
Quadratic twists by: -4 8 -3 5 |