Atkin-Lehner |
3+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583j |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3902287753635319377 = -1 · 32 · 77 · 198 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,377348,-32597986] |
[a1,a2,a3,a4,a6] |
Generators |
[201107428152:-7088136570767:700227072] |
Generators of the group modulo torsion |
j |
50508161172003023/33168898619073 |
j-invariant |
L |
3.5008517880042 |
L(r)(E,1)/r! |
Ω |
0.14137874344059 |
Real period |
R |
12.381110831985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369g4 |
Quadratic twists by: -7 |