Atkin-Lehner |
5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10075h |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5220 |
Modular degree for the optimal curve |
Δ |
-26604296875 = -1 · 58 · 133 · 31 |
Discriminant |
Eigenvalues |
0 -2 5- 2 -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-83,-7881] |
[a1,a2,a3,a4,a6] |
j |
-163840/68107 |
j-invariant |
L |
0.53301680964824 |
L(r)(E,1)/r! |
Ω |
0.53301680964824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90675cd1 10075b1 |
Quadratic twists by: -3 5 |