Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bk |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1162031708148003 = 39 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13272786,-18608605331] |
[a1,a2,a3,a4,a6] |
Generators |
[277127020184141724084:31961915004016717289053:19208351673931328] |
Generators of the group modulo torsion |
j |
3015048057243061393/13548843 |
j-invariant |
L |
9.7501788295912 |
L(r)(E,1)/r! |
Ω |
0.079096821217462 |
Real period |
R |
30.81722719084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30723i4 13167j4 |
Quadratic twists by: -3 -7 |