Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472p |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3603456 |
Modular degree for the optimal curve |
Δ |
-1.0312494152668E+23 |
Discriminant |
Eigenvalues |
2- 1 3 3 11- 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8709624,18343629524] |
[a1,a2,a3,a4,a6] |
Generators |
[1260490:65060864:343] |
Generators of the group modulo torsion |
j |
-17838652027865080874617/25176987677411508224 |
j-invariant |
L |
9.5670332301286 |
L(r)(E,1)/r! |
Ω |
0.095546990795002 |
Real period |
R |
2.0860227060612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434b1 |
Quadratic twists by: -4 |