Atkin-Lehner |
2- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24128m |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
98828288 = 218 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524,-4592] |
[a1,a2,a3,a4,a6] |
j |
60698457/377 |
j-invariant |
L |
0.99822678290557 |
L(r)(E,1)/r! |
Ω |
0.9982267829055 |
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 |
24128a1 6032f1 |
Quadratic twists by: -4 8 |