Atkin-Lehner |
2- 3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390bd |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-17677725120 = -1 · 26 · 36 · 5 · 11 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,614,-2524] |
[a1,a2,a3,a4,a6] |
Generators |
[8:50:1] |
Generators of the group modulo torsion |
j |
25596737654111/17677725120 |
j-invariant |
L |
9.6463025021629 |
L(r)(E,1)/r! |
Ω |
0.69526665685118 |
Real period |
R |
0.77079159382054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170t1 |
Quadratic twists by: -3 |