Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bk |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-40877897890752 = -1 · 26 · 33 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2060,310223] |
[a1,a2,a3,a4,a6] |
j |
-43875/1856 |
j-invariant |
L |
6.4271138516822 |
L(r)(E,1)/r! |
Ω |
0.53559281063136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218i1 88218b1 |
Quadratic twists by: -3 13 |