Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bc |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
21482800922880 = 28 · 314 · 5 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7178,-69303] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:423:1] |
Generators of the group modulo torsion |
j |
56098315742041/29468862720 |
j-invariant |
L |
8.8390075900043 |
L(r)(E,1)/r! |
Ω |
0.54994912325081 |
Real period |
R |
1.0045256024953 |
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 |
9570e1 |
Quadratic twists by: -3 |