Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078da |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-71430903800256 = -1 · 26 · 3 · 72 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1771,-405471] |
[a1,a2,a3,a4,a6] |
j |
127263527/14798784 |
j-invariant |
L |
3.4981757346749 |
L(r)(E,1)/r! |
Ω |
0.29151464725196 |
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 |
6006n1 |
Quadratic twists by: 13 |