Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050s |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
20152320 |
Modular degree for the optimal curve |
Δ |
8.3094201914062E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1107506026,-14186324118052] |
[a1,a2,a3,a4,a6] |
Generators |
[91021:25234961:1] |
Generators of the group modulo torsion |
j |
9614838178969355630186533009/5318028922500000000 |
j-invariant |
L |
5.0466777638095 |
L(r)(E,1)/r! |
Ω |
0.026170561738246 |
Real period |
R |
6.0261862812294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150dp1 8610i1 |
Quadratic twists by: -3 5 |