Atkin-Lehner |
2+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41440b |
Isogeny class |
Conductor |
41440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33584965120 = -1 · 29 · 5 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83,-8822] |
[a1,a2,a3,a4,a6] |
Generators |
[58:426:1] [9508:115515:64] |
Generators of the group modulo torsion |
j |
-123505992/65595635 |
j-invariant |
L |
8.4381350745789 |
L(r)(E,1)/r! |
Ω |
0.52367455971818 |
Real period |
R |
32.226637395258 |
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 |
41440a2 82880bs3 |
Quadratic twists by: -4 8 |