Atkin-Lehner |
3+ 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
16653f |
Isogeny class |
Conductor |
16653 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13588798041 = 32 · 74 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-714,4455] |
[a1,a2,a3,a4,a6] |
j |
40343019516073/13588798041 |
j-invariant |
L |
2.3135495810191 |
L(r)(E,1)/r! |
Ω |
1.1567747905095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49959k2 116571i2 |
Quadratic twists by: -3 -7 |