Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bg |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.1210513154654E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9793719,-11807939078] |
[a1,a2,a3,a4,a6] |
j |
-3113886554501616/3360173089 |
j-invariant |
L |
2.7307662367938 |
L(r)(E,1)/r! |
Ω |
0.04266822236716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176c2 6552c2 |
Quadratic twists by: -3 13 |