Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586a |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
460718931479528988 = 22 · 318 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-389085,-87682671] |
[a1,a2,a3,a4,a6] |
j |
55369510069623625/3916046302812 |
j-invariant |
L |
1.5360656128938 |
L(r)(E,1)/r! |
Ω |
0.19200820161173 |
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 |
44688de2 16758bd2 798e2 106134cq2 |
Quadratic twists by: -4 -3 -7 -19 |