Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bm |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7847165952 = 214 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13980,636208] |
[a1,a2,a3,a4,a6] |
Generators |
[66:32:1] |
Generators of the group modulo torsion |
j |
25298674000/657 |
j-invariant |
L |
6.8982917260914 |
L(r)(E,1)/r! |
Ω |
1.2205198459052 |
Real period |
R |
1.4129822938206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048d2 10512c2 14016bs2 |
Quadratic twists by: -4 8 -3 |