Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cm |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
129293288880537600 = 216 · 34 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17122561,-27272429815] |
[a1,a2,a3,a4,a6] |
j |
4718909406724749250561/1098974822400 |
j-invariant |
L |
4.7499315818327 |
L(r)(E,1)/r! |
Ω |
0.074217680966137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57330ck2 95550bn2 2730v2 |
Quadratic twists by: -3 5 -7 |