Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544t |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6999741181707144192 = 210 · 35 · 78 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12482864,16979063088] |
[a1,a2,a3,a4,a6] |
Generators |
[8778:542709:8] |
Generators of the group modulo torsion |
j |
1785575700069130372/58102361667 |
j-invariant |
L |
5.2296813401849 |
L(r)(E,1)/r! |
Ω |
0.22039350210007 |
Real period |
R |
5.9322091376792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999082396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bf4 15792f3 |
Quadratic twists by: -4 -7 |