Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43602l |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2490633444 = 22 · 3 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-342,340] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1208:1] |
Generators of the group modulo torsion |
j |
912673/516 |
j-invariant |
L |
5.6596889407343 |
L(r)(E,1)/r! |
Ω |
1.2464838055049 |
Real period |
R |
2.2702617217096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258g1 |
Quadratic twists by: 13 |