Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155f |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
607815140625 = 38 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16247,-803016] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3116:1] |
Generators of the group modulo torsion |
j |
474334834335054841/607815140625 |
j-invariant |
L |
2.8369366824155 |
L(r)(E,1)/r! |
Ω |
0.4228985505108 |
Real period |
R |
2.2361049941244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480dc2 73920cx2 3465k2 5775o2 |
Quadratic twists by: -4 8 -3 5 |