Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824z |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-29395308544 = -1 · 212 · 76 · 61 |
Discriminant |
Eigenvalues |
2- -2 3 7- 5 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1584,25108] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
2.3181291168817 |
L(r)(E,1)/r! |
Ω |
1.1590645580984 |
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 |
2989d1 976b1 |
Quadratic twists by: -4 -7 |