Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600eu |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-617400000000 = -1 · 29 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,35512] |
[a1,a2,a3,a4,a6] |
Generators |
[77:750:1] |
Generators of the group modulo torsion |
j |
39304/225 |
j-invariant |
L |
5.905743295169 |
L(r)(E,1)/r! |
Ω |
0.66047485694048 |
Real period |
R |
2.2354156455452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gq2 23520t2 117600gy2 |
Quadratic twists by: -4 5 -7 |