Atkin-Lehner |
3- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35145n |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5684593921875 = -1 · 38 · 56 · 11 · 712 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4464,-161177] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1211:1] |
Generators of the group modulo torsion |
j |
-13496571664129/7797796875 |
j-invariant |
L |
6.6120269961809 |
L(r)(E,1)/r! |
Ω |
0.28446016950556 |
Real period |
R |
1.9370101994928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715a2 |
Quadratic twists by: -3 |