Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600l |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42257600000000 = 212 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9633,182863] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:532:1] [-37:700:1] |
Generators of the group modulo torsion |
j |
1544804416/660275 |
j-invariant |
L |
7.5547114899995 |
L(r)(E,1)/r! |
Ω |
0.58018899114131 |
Real period |
R |
0.81382010919588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600h2 123200gf1 12320g2 |
Quadratic twists by: -4 8 5 |