Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5115f |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
74177490234375 = 34 · 512 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22935,-1280610] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:153:1] [-92:293:1] |
Generators of the group modulo torsion |
j |
1334200592015097841/74177490234375 |
j-invariant |
L |
2.8191134003503 |
L(r)(E,1)/r! |
Ω |
0.38929368692327 |
Real period |
R |
0.60346757367852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840df3 15345e4 25575o3 56265k3 |
Quadratic twists by: -4 -3 5 -11 |