Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042q |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8436434985858367488 = 218 · 3 · 79 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2399800,1423064896] |
[a1,a2,a3,a4,a6] |
Generators |
[6166:42193:8] |
Generators of the group modulo torsion |
j |
12991547986467765625/71708514189312 |
j-invariant |
L |
3.0045979970166 |
L(r)(E,1)/r! |
Ω |
0.23373088345899 |
Real period |
R |
3.2137366193875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126eq3 6006q3 |
Quadratic twists by: -3 -7 |