Atkin-Lehner |
2- 3- 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24708a |
Isogeny class |
Conductor |
24708 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-280124676864 = -1 · 28 · 312 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1211,20039] |
[a1,a2,a3,a4,a6] |
Generators |
[25:258:1] |
Generators of the group modulo torsion |
j |
766580031488/1094237019 |
j-invariant |
L |
8.2907795207743 |
L(r)(E,1)/r! |
Ω |
0.66099926491335 |
Real period |
R |
3.1356992211864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98832h1 74124e1 |
Quadratic twists by: -4 -3 |