Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800cc |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
39960000000000 = 212 · 33 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134033,18840063] |
[a1,a2,a3,a4,a6] |
Generators |
[223:300:1] |
Generators of the group modulo torsion |
j |
4160851280704/624375 |
j-invariant |
L |
5.6720763616667 |
L(r)(E,1)/r! |
Ω |
0.62395785274111 |
Real period |
R |
0.75753999799418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800be4 17760d3 |
Quadratic twists by: -4 5 |