Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218i |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-29799987562358208 = -1 · 26 · 39 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 -1 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18537,-8357491] |
[a1,a2,a3,a4,a6] |
j |
-43875/1856 |
j-invariant |
L |
0.65098031152728 |
L(r)(E,1)/r! |
Ω |
0.16274506629804 |
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 |
88218bk1 88218bo1 |
Quadratic twists by: -3 13 |