Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168a |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-24233852928 = -1 · 214 · 3 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,-8111] |
[a1,a2,a3,a4,a6] |
Generators |
[45:248:1] [51:316:1] |
Generators of the group modulo torsion |
j |
-549250000/1479117 |
j-invariant |
L |
5.7489217491177 |
L(r)(E,1)/r! |
Ω |
0.48584185288733 |
Real period |
R |
0.98607563259382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168o2 948c2 45504v2 |
Quadratic twists by: -4 8 -3 |