Atkin-Lehner |
2+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040g |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2883865600 = -1 · 210 · 52 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,277,-1878] |
[a1,a2,a3,a4,a6] |
Generators |
[11:50:1] [17:88:1] |
Generators of the group modulo torsion |
j |
2295424764/2816275 |
j-invariant |
L |
11.012837575418 |
L(r)(E,1)/r! |
Ω |
0.766260580271 |
Real period |
R |
1.7965229222109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520b2 |
Quadratic twists by: -4 |