Atkin-Lehner |
2- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2222a |
Isogeny class |
Conductor |
2222 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1424 |
Modular degree for the optimal curve |
Δ |
-97768 = -1 · 23 · 112 · 101 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5853,171865] |
[a1,a2,a3,a4,a6] |
j |
-22175014984908625/97768 |
j-invariant |
L |
1.5142994139059 |
L(r)(E,1)/r! |
Ω |
2.2714491208588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17776g1 71104i1 19998j1 55550c1 |
Quadratic twists by: -4 8 -3 5 |