Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322h |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-264741138816 = -1 · 27 · 3 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1501,11201] |
[a1,a2,a3,a4,a6] |
Generators |
[23:230:1] |
Generators of the group modulo torsion |
j |
373979421247823/264741138816 |
j-invariant |
L |
5.5084454212251 |
L(r)(E,1)/r! |
Ω |
0.62195411415064 |
Real period |
R |
0.63261963909939 |
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 |
114576ca2 42966s2 100254cq2 |
Quadratic twists by: -4 -3 -7 |