Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
19580a |
Isogeny class |
Conductor |
19580 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
217827500000000 = 28 · 510 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-465740,-122181400] |
[a1,a2,a3,a4,a6] |
Generators |
[40105:8030250:1] |
Generators of the group modulo torsion |
j |
43643070311526797776/850888671875 |
j-invariant |
L |
6.6057882233625 |
L(r)(E,1)/r! |
Ω |
0.18275282553836 |
Real period |
R |
7.2292050247684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bm2 97900a2 |
Quadratic twists by: -4 5 |