Atkin-Lehner |
3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
2139f |
Isogeny class |
Conductor |
2139 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
107593839 = 38 · 232 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 2 0 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127,215] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:29:1] |
Generators of the group modulo torsion |
j |
223980311017/107593839 |
j-invariant |
L |
4.0187434946594 |
L(r)(E,1)/r! |
Ω |
1.6746626937363 |
Real period |
R |
0.59993327457684 |
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 |
34224y2 6417m2 53475h2 104811c2 |
Quadratic twists by: -4 -3 5 -7 |