Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27412d |
Isogeny class |
Conductor |
27412 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-1444797485824 = -1 · 28 · 78 · 11 · 89 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11- -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2379,37543] |
[a1,a2,a3,a4,a6] |
Generators |
[26:343:1] |
Generators of the group modulo torsion |
j |
5814126903296/5643740179 |
j-invariant |
L |
2.7799393327963 |
L(r)(E,1)/r! |
Ω |
0.55964035117045 |
Real period |
R |
0.62092094659148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648j1 |
Quadratic twists by: -4 |