Atkin-Lehner |
2- 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bj |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1288229343045120000 = 212 · 34 · 54 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283960,20345392] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:8370:1] [-51:5890:1] |
Generators of the group modulo torsion |
j |
618211096465830841/314509116954375 |
j-invariant |
L |
8.2973225585959 |
L(r)(E,1)/r! |
Ω |
0.24011377155579 |
Real period |
R |
1.4398248423439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255e2 |
Quadratic twists by: -4 |