Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600de |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19525536000000000 = 214 · 39 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35710875,-82138893750] |
[a1,a2,a3,a4,a6] |
Generators |
[490063571907532259:68944217176702767502:22667589754901] |
Generators of the group modulo torsion |
j |
31984819729407/124 |
j-invariant |
L |
7.3956445975977 |
L(r)(E,1)/r! |
Ω |
0.061758882906824 |
Real period |
R |
29.937574249341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cb2 111600dd2 111600dg2 |
Quadratic twists by: -4 -3 5 |