Atkin-Lehner |
2+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514b |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-22889874436 = -1 · 22 · 112 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-874,-12696] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1518:1] |
Generators of the group modulo torsion |
j |
-437670713857/135443044 |
j-invariant |
L |
5.4244635462795 |
L(r)(E,1)/r! |
Ω |
0.43211129249905 |
Real period |
R |
1.5691743195146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85514n1 |
Quadratic twists by: 13 |