Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830bn |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-242116646400 = -1 · 29 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4081,102761] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-1693:1] [38:35:1] |
Generators of the group modulo torsion |
j |
-7821800952529/251942400 |
j-invariant |
L |
11.693491328277 |
L(r)(E,1)/r! |
Ω |
0.9836618310066 |
Real period |
R |
0.073380955691268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490bj1 28830w1 |
Quadratic twists by: -3 -31 |