Atkin-Lehner |
2- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20740a |
Isogeny class |
Conductor |
20740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
110181250000 = 24 · 58 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5668,-163467] |
[a1,a2,a3,a4,a6] |
Generators |
[-100269:27132:2197] |
Generators of the group modulo torsion |
j |
1258616016912384/6886328125 |
j-invariant |
L |
3.825328203947 |
L(r)(E,1)/r! |
Ω |
0.55040853692747 |
Real period |
R |
6.9499797828374 |
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 |
82960c1 103700a1 |
Quadratic twists by: -4 5 |