Atkin-Lehner |
2- 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bt |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52578882972 = 22 · 310 · 73 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42740546,107560138565] |
[a1,a2,a3,a4,a6] |
j |
11844490171231388020963033/72124668 |
j-invariant |
L |
2.9801168137829 |
L(r)(E,1)/r! |
Ω |
0.37251459964761 |
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 |
27258o4 |
Quadratic twists by: -3 |