Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930k |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
28142899200 = 212 · 36 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1575,-22275] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:18:1] |
Generators of the group modulo torsion |
j |
592915705201/38604800 |
j-invariant |
L |
3.2650035642439 |
L(r)(E,1)/r! |
Ω |
0.76091774495179 |
Real period |
R |
2.1454379175049 |
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 |
3770g1 |
Quadratic twists by: -3 |