Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bk |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
36061968981611664 = 24 · 34 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-695777,-223255420] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:574:1] |
Generators of the group modulo torsion |
j |
65597103937/63504 |
j-invariant |
L |
4.874122191206 |
L(r)(E,1)/r! |
Ω |
0.16531313199766 |
Real period |
R |
3.6855225385818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7098b2 294c2 |
Quadratic twists by: -7 13 |