Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16215c |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-367887688651125 = -1 · 32 · 53 · 236 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5914,-939763] |
[a1,a2,a3,a4,a6] |
Generators |
[157341554:3930567031:238328] |
Generators of the group modulo torsion |
j |
-22869786255009049/367887688651125 |
j-invariant |
L |
6.5859556070907 |
L(r)(E,1)/r! |
Ω |
0.23037923472142 |
Real period |
R |
14.293726635247 |
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 |
48645j2 81075d2 |
Quadratic twists by: -3 5 |