Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85668c |
Isogeny class |
Conductor |
85668 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
42624948148992 = 28 · 33 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15044,-631992] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:242:1] |
Generators of the group modulo torsion |
j |
830321872/93987 |
j-invariant |
L |
2.9757596276803 |
L(r)(E,1)/r! |
Ω |
0.43425353983127 |
Real period |
R |
1.1420976276905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
708a2 |
Quadratic twists by: -11 |