Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cb |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
127298469888 = 215 · 36 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1260,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:136:1] [0:36:1] |
Generators of the group modulo torsion |
j |
9261000/5329 |
j-invariant |
L |
8.2694936728828 |
L(r)(E,1)/r! |
Ω |
0.88930243158397 |
Real period |
R |
4.6494271123004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bz2 21024n2 4672c2 |
Quadratic twists by: -4 8 -3 |