Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655t |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24191363356875 = 36 · 54 · 11 · 136 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90024,-10371295] |
[a1,a2,a3,a4,a6] |
Generators |
[-11020:8625:64] |
Generators of the group modulo torsion |
j |
22930509321/6875 |
j-invariant |
L |
7.3386088354153 |
L(r)(E,1)/r! |
Ω |
0.27562433954011 |
Real period |
R |
6.656350492414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9295c4 495a3 |
Quadratic twists by: -3 13 |