Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050bd |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
62530801620125000 = 23 · 56 · 298 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -6 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3112138,-2114441969] |
[a1,a2,a3,a4,a6] |
Generators |
[-11042594999660:3679536970241:10823192128] |
Generators of the group modulo torsion |
j |
426477625/8 |
j-invariant |
L |
12.792469106149 |
L(r)(E,1)/r! |
Ω |
0.11366724426587 |
Real period |
R |
18.757190764397 |
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 |
1682d2 42050g2 |
Quadratic twists by: 5 29 |