Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bz |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.5444472873513E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45605810,-115049990263] |
[a1,a2,a3,a4,a6] |
Generators |
[63086:-1036097:8] |
Generators of the group modulo torsion |
j |
5921450764096952391481/200074809015963750 |
j-invariant |
L |
8.5221760149642 |
L(r)(E,1)/r! |
Ω |
0.058216274766985 |
Real period |
R |
9.149262865946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610i3 |
Quadratic twists by: -11 |