Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390k |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
1515497743520640 = 27 · 311 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62008,-5645434] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:509:1] |
Generators of the group modulo torsion |
j |
26366763011360933881/1515497743520640 |
j-invariant |
L |
4.7438185800333 |
L(r)(E,1)/r! |
Ω |
0.30362943782827 |
Real period |
R |
0.2840674722669 |
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 |
82170bo1 |
Quadratic twists by: -3 |