Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760n |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
128737440000 = 28 · 32 · 54 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1476,-13860] |
[a1,a2,a3,a4,a6] |
Generators |
[474:10296:1] |
Generators of the group modulo torsion |
j |
1390071129424/502880625 |
j-invariant |
L |
7.8737909168293 |
L(r)(E,1)/r! |
Ω |
0.79342209441204 |
Real period |
R |
4.9619181090112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880m2 |
Quadratic twists by: -4 |