Atkin-Lehner |
3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365h |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
3734295665625 = 310 · 55 · 73 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27455,-1759948] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:86:1] |
Generators of the group modulo torsion |
j |
6672597445507447/10887159375 |
j-invariant |
L |
3.3131598429269 |
L(r)(E,1)/r! |
Ω |
0.37092548270936 |
Real period |
R |
1.7864288097654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43365o1 |
Quadratic twists by: -7 |