Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770a |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3103848684140490000 = 24 · 312 · 54 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1809148,-933521792] |
[a1,a2,a3,a4,a6] |
Generators |
[-101245:-90439:125] |
Generators of the group modulo torsion |
j |
135670761487282321/643043610000 |
j-invariant |
L |
3.1279397818155 |
L(r)(E,1)/r! |
Ω |
0.13021315987381 |
Real period |
R |
6.0054217730134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330c3 |
Quadratic twists by: 13 |