Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370m |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-23263977000 = -1 · 23 · 3 · 53 · 11 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149,-7384] |
[a1,a2,a3,a4,a6] |
Generators |
[42810:580127:216] |
Generators of the group modulo torsion |
j |
-362314607689/23263977000 |
j-invariant |
L |
4.7242861605811 |
L(r)(E,1)/r! |
Ω |
0.52869644078756 |
Real period |
R |
8.9357252973817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110cj2 |
Quadratic twists by: -3 |