Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067k |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
642048 |
Modular degree for the optimal curve |
Δ |
-37551959452806327 = -1 · 38 · 237 · 412 |
Discriminant |
Eigenvalues |
1 3+ 2 2 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-585349,172381768] |
[a1,a2,a3,a4,a6] |
Generators |
[493674:22179589:216] |
Generators of the group modulo torsion |
j |
-149831282713897/253667943 |
j-invariant |
L |
8.0389875261002 |
L(r)(E,1)/r! |
Ω |
0.36505225505157 |
Real period |
R |
5.5053676668801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829a1 |
Quadratic twists by: -23 |