Atkin-Lehner |
2- 3+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290j |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
20293435440000 = 27 · 38 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17431,-866131] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:190:1] [-77:202:1] |
Generators of the group modulo torsion |
j |
585722864959350769/20293435440000 |
j-invariant |
L |
8.7468846195174 |
L(r)(E,1)/r! |
Ω |
0.4163821890376 |
Real period |
R |
1.5004903890502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870v2 |
Quadratic twists by: -3 |