Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384f |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37973323776 = 212 · 3 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-977,7425] |
[a1,a2,a3,a4,a6] |
j |
25205301568/9270831 |
j-invariant |
L |
1.0548997595297 |
L(r)(E,1)/r! |
Ω |
1.0548997558862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60384r3 120768dg1 |
Quadratic twists by: -4 8 |