Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dg |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
745119648000000000 = 214 · 39 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227180,3550447] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:5813:1] |
Generators of the group modulo torsion |
j |
33729575391/19382272 |
j-invariant |
L |
9.0170320066139 |
L(r)(E,1)/r! |
Ω |
0.24298412302802 |
Real period |
R |
1.3253411513717 |
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 |
40950m1 40950o1 |
Quadratic twists by: -3 5 |