Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cx |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
1428 |
Product of Tamagawa factors cp |
deg |
24675840 |
Modular degree for the optimal curve |
Δ |
4.0647756144717E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-445516048,1921225302272] |
[a1,a2,a3,a4,a6] |
Generators |
[2948:794432:1] |
Generators of the group modulo torsion |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
10.875325740241 |
L(r)(E,1)/r! |
Ω |
0.039764391137417 |
Real period |
R |
0.1915224679683 |
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 |
43350s1 2550r1 |
Quadratic twists by: 5 17 |