Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046q |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
80426379908 = 22 · 72 · 177 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5208,-144452] |
[a1,a2,a3,a4,a6] |
Generators |
[84:70:1] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
3.9513978079883 |
L(r)(E,1)/r! |
Ω |
0.56216779990549 |
Real period |
R |
3.5144291514496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368k1 129472be1 36414be1 101150g1 |
Quadratic twists by: -4 8 -3 5 |