Atkin-Lehner |
3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10863c |
Isogeny class |
Conductor |
10863 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-487477700739 = -1 · 39 · 173 · 712 |
Discriminant |
Eigenvalues |
0 3+ -1 0 3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-108,-33595] |
[a1,a2,a3,a4,a6] |
Generators |
[45:229:1] |
Generators of the group modulo torsion |
j |
-7077888/24766433 |
j-invariant |
L |
3.4590878422759 |
L(r)(E,1)/r! |
Ω |
0.42300846860527 |
Real period |
R |
0.68144574301336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10863a1 |
Quadratic twists by: -3 |