Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067j |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-65067 = -1 · 3 · 232 · 41 |
Discriminant |
Eigenvalues |
1 3+ 2 2 -1 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[182:801:8] |
Generators of the group modulo torsion |
j |
23/123 |
j-invariant |
L |
7.4071803828814 |
L(r)(E,1)/r! |
Ω |
1.6138626501531 |
Real period |
R |
4.5897216729731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65067m1 |
Quadratic twists by: -23 |