Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cd |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.794479962058E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5256688,4629747281] |
[a1,a2,a3,a4,a6] |
j |
1728432036001/3006720 |
j-invariant |
L |
3.3672051589029 |
L(r)(E,1)/r! |
Ω |
0.21045028914282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25230k1 4350n1 |
Quadratic twists by: 5 29 |