Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936ba |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
625895424 = 211 · 34 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3264,-72864] |
[a1,a2,a3,a4,a6] |
Generators |
[111:972:1] |
Generators of the group modulo torsion |
j |
5476248398/891 |
j-invariant |
L |
4.8930426097355 |
L(r)(E,1)/r! |
Ω |
0.63161897686055 |
Real period |
R |
3.8734132356633 |
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 |
25872e2 103488v2 38808u2 12936s2 |
Quadratic twists by: -4 8 -3 -7 |