Atkin-Lehner |
2+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41440b |
Isogeny class |
Conductor |
41440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28427840000 = 29 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-803,3302] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:98:1] [-2:70:1] |
Generators of the group modulo torsion |
j |
111840831432/55523125 |
j-invariant |
L |
8.4381350745789 |
L(r)(E,1)/r! |
Ω |
1.0473491194364 |
Real period |
R |
2.0141648372036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41440a3 82880bs4 |
Quadratic twists by: -4 8 |