Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648i |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5806325016576 = -1 · 211 · 310 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4136,-55796] |
[a1,a2,a3,a4,a6] |
j |
556890154/413343 |
j-invariant |
L |
1.6992421014197 |
L(r)(E,1)/r! |
Ω |
0.42481052520637 |
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 |
121296y2 60648bl2 |
Quadratic twists by: -4 -19 |