Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218b |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-8468928 = -1 · 26 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
-43875/1856 |
j-invariant |
L |
4.0592238019777 |
L(r)(E,1)/r! |
Ω |
1.9311073415012 |
Real period |
R |
0.52550468215792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bo1 88218bk1 |
Quadratic twists by: -3 13 |