Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122210a |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-2172404960 = -1 · 25 · 5 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13,2237] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-54:1] |
Generators of the group modulo torsion |
j |
-205379/1632160 |
j-invariant |
L |
3.663646202022 |
L(r)(E,1)/r! |
Ω |
1.1721134744944 |
Real period |
R |
0.78141884962048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998650681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122210j1 |
Quadratic twists by: -11 |