Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29088f |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30460022784 = -1 · 212 · 36 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,17440] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:180:1] |
Generators of the group modulo torsion |
j |
-58411072/10201 |
j-invariant |
L |
7.2582891619018 |
L(r)(E,1)/r! |
Ω |
1.1301264968556 |
Real period |
R |
1.6056364447027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29088m2 58176o1 3232c2 |
Quadratic twists by: -4 8 -3 |