Atkin-Lehner |
2- 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986x |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-4806831550470768 = -1 · 24 · 38 · 78 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84947,-10075165] |
[a1,a2,a3,a4,a6] |
j |
-92989845986076649/6593733265392 |
j-invariant |
L |
2.2280913108018 |
L(r)(E,1)/r! |
Ω |
0.13925570523698 |
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 |
25662l1 |
Quadratic twists by: -3 |