Atkin-Lehner |
3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47481m |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-7.7307863314592E+19 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ -5 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-689480,476924139] |
[a1,a2,a3,a4,a6] |
j |
-6287882973213121/13410326447451 |
j-invariant |
L |
1.3742173965083 |
L(r)(E,1)/r! |
Ω |
0.17177717450667 |
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 |
47481l1 |
Quadratic twists by: -7 |