Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bg |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
652487295889728 = 26 · 38 · 133 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33786,-2041740] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:390:1] |
Generators of the group modulo torsion |
j |
2663076796381/407393856 |
j-invariant |
L |
6.6075838752925 |
L(r)(E,1)/r! |
Ω |
0.35575846353706 |
Real period |
R |
2.3216537854576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29406be2 88218ch2 |
Quadratic twists by: -3 13 |