Atkin-Lehner |
3- 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27639g |
Isogeny class |
Conductor |
27639 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
2238759 = 36 · 37 · 83 |
Discriminant |
Eigenvalues |
1 3- 1 2 -2 -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,-1319] |
[a1,a2,a3,a4,a6] |
Generators |
[-556:359:64] |
Generators of the group modulo torsion |
j |
1948441249/3071 |
j-invariant |
L |
7.3221622733949 |
L(r)(E,1)/r! |
Ω |
1.2205335967335 |
Real period |
R |
2.9995742407219 |
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 |
3071a1 |
Quadratic twists by: -3 |