Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490ca |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
3826572314124105000 = 23 · 313 · 54 · 75 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2775406,-1778329597] |
[a1,a2,a3,a4,a6] |
j |
82780849946780654929/133978933305000 |
j-invariant |
L |
2.1056328396136 |
L(r)(E,1)/r! |
Ω |
0.11697960220141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470cf1 35490p1 |
Quadratic twists by: -3 13 |