Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840h |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
58551896183040000 = 211 · 36 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856323,304781022] |
[a1,a2,a3,a4,a6] |
j |
9636491538/8125 |
j-invariant |
L |
1.3973978656837 |
L(r)(E,1)/r! |
Ω |
0.34934946814062 |
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 |
121680m4 6760i3 4680s3 |
Quadratic twists by: -4 -3 13 |