Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704k |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
51494976 = 26 · 32 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202,-1120] |
[a1,a2,a3,a4,a6] |
j |
14313506752/804609 |
j-invariant |
L |
5.0811565220431 |
L(r)(E,1)/r! |
Ω |
1.2702891305109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28704o1 57408p2 86112bg1 |
Quadratic twists by: -4 8 -3 |