Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204l |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
503546307174144 = 28 · 36 · 137 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-502324,136861076] |
[a1,a2,a3,a4,a6] |
Generators |
[4138:31689:8] |
Generators of the group modulo torsion |
j |
11344262899408/407511 |
j-invariant |
L |
8.0354062882015 |
L(r)(E,1)/r! |
Ω |
0.48925255590401 |
Real period |
R |
5.47461372758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708f2 |
Quadratic twists by: 13 |