Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29260g |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
490925650070240000 = 28 · 54 · 72 · 113 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-290676,49924324] |
[a1,a2,a3,a4,a6] |
Generators |
[-485:8778:1] |
Generators of the group modulo torsion |
j |
10609936057729286224/1917678320586875 |
j-invariant |
L |
2.8782491835654 |
L(r)(E,1)/r! |
Ω |
0.28045662075726 |
Real period |
R |
1.7104541727902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117040z2 |
Quadratic twists by: -4 |