Atkin-Lehner |
2- 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472q |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
235240076381847552 = 216 · 32 · 37 · 476 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420048,-102293100] |
[a1,a2,a3,a4,a6] |
Generators |
[387548:10098474:343] |
Generators of the group modulo torsion |
j |
2001066685477548625/57431659272912 |
j-invariant |
L |
7.9003168707636 |
L(r)(E,1)/r! |
Ω |
0.18786097729048 |
Real period |
R |
10.513515079244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10434e2 |
Quadratic twists by: -4 |