Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288u |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
989901742991616 = 28 · 34 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31572,1550340] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:1170:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
4.4252850436114 |
L(r)(E,1)/r! |
Ω |
0.46002616901179 |
Real period |
R |
2.4049094060875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30576v2 122304eg2 45864n2 2184m2 |
Quadratic twists by: -4 8 -3 -7 |