Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067n |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10662902066846241 = 34 · 238 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1496552,704029016] |
[a1,a2,a3,a4,a6] |
Generators |
[13846022190:18935900537:18821096] |
Generators of the group modulo torsion |
j |
2503987457522257/72029169 |
j-invariant |
L |
4.5907081122353 |
L(r)(E,1)/r! |
Ω |
0.37722346693902 |
Real period |
R |
12.16973098001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000524 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2829e2 |
Quadratic twists by: -23 |