Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710p |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-524670048000 = -1 · 28 · 39 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187,-34883] |
[a1,a2,a3,a4,a6] |
j |
36926037/26656000 |
j-invariant |
L |
3.460762771972 |
L(r)(E,1)/r! |
Ω |
0.43259534649649 |
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 |
85680ct1 10710d1 53550h1 74970cj1 |
Quadratic twists by: -4 -3 5 -7 |