Atkin-Lehner |
2- 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24282j |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-464560213032 = -1 · 23 · 316 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2588,60999] |
[a1,a2,a3,a4,a6] |
j |
-2628643361401/637256808 |
j-invariant |
L |
5.3535045696775 |
L(r)(E,1)/r! |
Ω |
0.89225076161292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8094a1 |
Quadratic twists by: -3 |