Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424o |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
322219347575570432 = 227 · 133 · 1033 |
Discriminant |
Eigenvalues |
2- 2 0 1 -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-502728,-134284816] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:1482:1] |
Generators of the group modulo torsion |
j |
3430550772360231625/78666832904192 |
j-invariant |
L |
7.4035901365578 |
L(r)(E,1)/r! |
Ω |
0.17954471127171 |
Real period |
R |
3.4362796895726 |
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 |
2678h2 85696bp2 |
Quadratic twists by: -4 8 |