Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050du |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2618880 |
Modular degree for the optimal curve |
Δ |
-474771427839843750 = -1 · 2 · 34 · 59 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1272076,-553326952] |
[a1,a2,a3,a4,a6] |
j |
-543739493/1134 |
j-invariant |
L |
0.56855833159726 |
L(r)(E,1)/r! |
Ω |
0.071070122171644 |
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 |
127050gu1 127050jd1 |
Quadratic twists by: 5 -11 |