Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520ca |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-228831165184000000 = -1 · 214 · 56 · 197 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86159,20826705] |
[a1,a2,a3,a4,a6] |
Generators |
[1744151451000:-317205019599659:52734375] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
8.5787800916642 |
L(r)(E,1)/r! |
Ω |
0.22199999673218 |
Real period |
R |
19.321576954665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520n2 28880k2 6080r2 |
Quadratic twists by: -4 8 -19 |