Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930j |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
23504949411840 = 216 · 38 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93015,-10893155] |
[a1,a2,a3,a4,a6] |
Generators |
[-711664:413945:4096] |
Generators of the group modulo torsion |
j |
122083727651299441/32242728960 |
j-invariant |
L |
4.5456333061747 |
L(r)(E,1)/r! |
Ω |
0.27338077559135 |
Real period |
R |
8.3137398676658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310j1 |
Quadratic twists by: -3 |