Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bf |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2652197644800000 = 212 · 310 · 55 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2057783,-1135663473] |
[a1,a2,a3,a4,a6] |
j |
1321888155259247905321/3638131200000 |
j-invariant |
L |
3.0252480580425 |
L(r)(E,1)/r! |
Ω |
0.12605200241846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570d1 |
Quadratic twists by: -3 |