Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496x |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9699728984064 = 211 · 34 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84163984,-297220348384] |
[a1,a2,a3,a4,a6] |
Generators |
[40704695811:-5988440580760:1601613] |
Generators of the group modulo torsion |
j |
273643023475244876546/40257 |
j-invariant |
L |
7.9180118714 |
L(r)(E,1)/r! |
Ω |
0.0498445848278 |
Real period |
R |
19.856750485884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11928g4 |
Quadratic twists by: -7 |