Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cg |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20127744 |
Modular degree for the optimal curve |
Δ |
-1.2777585627996E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19881177,168563217103] |
[a1,a2,a3,a4,a6] |
Generators |
[510561:364828109:1] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
7.8092559783128 |
L(r)(E,1)/r! |
Ω |
0.052695572048309 |
Real period |
R |
9.2622298053275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680z1 6120y1 |
Quadratic twists by: -3 17 |