Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067n |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
15286382637836481 = 32 · 2310 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97347,10023336] |
[a1,a2,a3,a4,a6] |
Generators |
[110719:1150589:343] |
Generators of the group modulo torsion |
j |
689167345537/103261329 |
j-invariant |
L |
4.5907081122353 |
L(r)(E,1)/r! |
Ω |
0.37722346693902 |
Real period |
R |
6.0848654900049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e1 |
Quadratic twists by: -23 |