Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bo |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-98481281520000 = -1 · 27 · 3 · 54 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7074,-418352] |
[a1,a2,a3,a4,a6] |
Generators |
[58:404:1] |
Generators of the group modulo torsion |
j |
2595575/6528 |
j-invariant |
L |
4.7884663539451 |
L(r)(E,1)/r! |
Ω |
0.30912969741173 |
Real period |
R |
1.2908460952473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350bw1 2550e1 |
Quadratic twists by: 5 17 |