Atkin-Lehner |
2- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40664f |
Isogeny class |
Conductor |
40664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
1556292608 = 210 · 132 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 -2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3032,63232] |
[a1,a2,a3,a4,a6] |
Generators |
[64:368:1] |
Generators of the group modulo torsion |
j |
3011303822692/1519817 |
j-invariant |
L |
3.9973148964778 |
L(r)(E,1)/r! |
Ω |
1.484650419038 |
Real period |
R |
1.3462141812047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81328b1 |
Quadratic twists by: -4 |