Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466i |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1073866622977512 = 23 · 39 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-397644,-96401656] |
[a1,a2,a3,a4,a6] |
Generators |
[-9825:7976:27] |
Generators of the group modulo torsion |
j |
8754552981/1352 |
j-invariant |
L |
2.5318980498236 |
L(r)(E,1)/r! |
Ω |
0.19012092543645 |
Real period |
R |
6.6586517081463 |
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 |
91728dd2 11466bq2 11466f2 |
Quadratic twists by: -4 -3 -7 |