Atkin-Lehner |
2+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160a |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1333606400 = -1 · 211 · 52 · 7 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,-1398] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
412850142/651175 |
j-invariant |
L |
3.5565233417818 |
L(r)(E,1)/r! |
Ω |
0.80479019152628 |
Real period |
R |
2.2095965999766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080h2 |
Quadratic twists by: -4 |