Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120u |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5301432623833E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26217147,51660639686] |
[a1,a2,a3,a4,a6] |
Generators |
[3182:21350:1] |
Generators of the group modulo torsion |
j |
2669638855558936538596/472895134385625 |
j-invariant |
L |
7.2133970383211 |
L(r)(E,1)/r! |
Ω |
0.16508297839792 |
Real period |
R |
5.461947915246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040m4 |
Quadratic twists by: -3 |