Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536ct |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-420424704 = -1 · 210 · 32 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,163,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[74:345:8] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
6.9483537020512 |
L(r)(E,1)/r! |
Ω |
0.92292757996643 |
Real period |
R |
3.7643006086696 |
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 |
25536u1 6384c1 76608dz1 |
Quadratic twists by: -4 8 -3 |