Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850v |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.4884447019216E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,268599,1315531948] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:13866:1] |
Generators of the group modulo torsion |
j |
137157381314370431/47926046092298400 |
j-invariant |
L |
6.6046848451795 |
L(r)(E,1)/r! |
Ω |
0.12415163950221 |
Real period |
R |
4.4332109155384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770w2 |
Quadratic twists by: 5 |