Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856q |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-172367806464 = -1 · 218 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 -7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-784,21952] |
[a1,a2,a3,a4,a6] |
Generators |
[24:128:1] |
Generators of the group modulo torsion |
j |
-13027640977/42081984 |
j-invariant |
L |
4.8439237242728 |
L(r)(E,1)/r! |
Ω |
0.89242333550067 |
Real period |
R |
1.3569579401337 |
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 |
2982k1 95424cg1 71568bm1 |
Quadratic twists by: -4 8 -3 |