Atkin-Lehner |
2- 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486p |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-783552 = -1 · 26 · 3 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53,-159] |
[a1,a2,a3,a4,a6] |
j |
-16484028625/783552 |
j-invariant |
L |
5.2930526669262 |
L(r)(E,1)/r! |
Ω |
0.88217544448771 |
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 |
73458l1 |
Quadratic twists by: -3 |