Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664x |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4484379648 = 210 · 3 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119173,-15795227] |
[a1,a2,a3,a4,a6] |
Generators |
[5289:383768:1] |
Generators of the group modulo torsion |
j |
182793612716032000/4379277 |
j-invariant |
L |
5.3530222651223 |
L(r)(E,1)/r! |
Ω |
0.25695364550112 |
Real period |
R |
6.9442126480082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664de3 2604f3 124992cz3 |
Quadratic twists by: -4 8 -3 |