Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568cf |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-776627564544 = -1 · 212 · 310 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,43184] |
[a1,a2,a3,a4,a6] |
Generators |
[49:351:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
5.8052731038435 |
L(r)(E,1)/r! |
Ω |
0.7579836654386 |
Real period |
R |
1.9147091713659 |
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 |
2223d1 11856x1 |
Quadratic twists by: -4 -3 |