Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8658a |
Isogeny class |
Conductor |
8658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
32383136448 = 26 · 37 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9306,347764] |
[a1,a2,a3,a4,a6] |
Generators |
[60:22:1] |
Generators of the group modulo torsion |
j |
122267653919137/44421312 |
j-invariant |
L |
3.8568736169389 |
L(r)(E,1)/r! |
Ω |
1.1471256050405 |
Real period |
R |
0.84055172336661 |
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 |
69264u2 2886b2 112554u2 |
Quadratic twists by: -4 -3 13 |