Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cc |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
417166412544 = 28 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4524,114444] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:162:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
2.8959678557361 |
L(r)(E,1)/r! |
Ω |
0.93598667108663 |
Real period |
R |
3.0940268117005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172v2 912j2 |
Quadratic twists by: -4 -7 |