Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400h |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20837600000000 = 211 · 58 · 7 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10008,320012] |
[a1,a2,a3,a4,a6] |
Generators |
[449514:141625:5832] |
Generators of the group modulo torsion |
j |
3464647202/651175 |
j-invariant |
L |
10.155262242345 |
L(r)(E,1)/r! |
Ω |
0.64788834543699 |
Real period |
R |
7.8372008975462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080k2 |
Quadratic twists by: 5 |