Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192j |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2339543859540484608 = -1 · 29 · 310 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360651,-111198814] |
[a1,a2,a3,a4,a6] |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
1.5253010351002 |
L(r)(E,1)/r! |
Ω |
0.095331314505013 |
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 |
60192q2 120384r3 20064q4 |
Quadratic twists by: -4 8 -3 |