Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bj |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2.3690635542632E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2850817,-1433015769] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:68022:1] |
Generators of the group modulo torsion |
j |
3514830176602998440279/3249744244531200000 |
j-invariant |
L |
8.2887409323233 |
L(r)(E,1)/r! |
Ω |
0.079579711187259 |
Real period |
R |
3.2548893464264 |
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 |
7410g1 111150bs1 |
Quadratic twists by: -3 5 |