Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320q |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
52861042713600 = 210 · 310 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12747,-429514] |
[a1,a2,a3,a4,a6] |
Generators |
[2087:95200:1] |
Generators of the group modulo torsion |
j |
306845800996/70812225 |
j-invariant |
L |
8.0611403552595 |
L(r)(E,1)/r! |
Ω |
0.45677616037147 |
Real period |
R |
4.411975193905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000441 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440p2 |
Quadratic twists by: -3 |