Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290cb |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7680054657600 = 26 · 310 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16322,795521] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-641:1] |
Generators of the group modulo torsion |
j |
659616269778649/10535054400 |
j-invariant |
L |
10.065904633571 |
L(r)(E,1)/r! |
Ω |
0.74238754455268 |
Real period |
R |
0.37663409643014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430s1 |
Quadratic twists by: -3 |