Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bp |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
90058355712 = 210 · 34 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1789,-24707] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3672:1] |
Generators of the group modulo torsion |
j |
618724784128/87947613 |
j-invariant |
L |
4.9236095301234 |
L(r)(E,1)/r! |
Ω |
0.74099932698892 |
Real period |
R |
1.6611383272544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432v1 10608k1 127296cc1 |
Quadratic twists by: -4 8 -3 |