Atkin-Lehner |
3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483c |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-417444845726307 = -1 · 3 · 78 · 176 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ 2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33042,2523149] |
[a1,a2,a3,a4,a6] |
Generators |
[-34914:410561:216] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
11.882262300955 |
L(r)(E,1)/r! |
Ω |
0.5175792056413 |
Real period |
R |
3.8262299346165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449v1 42483x1 147b1 |
Quadratic twists by: -3 -7 17 |