Atkin-Lehner |
2+ 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082u |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-5408463307745559726 = -1 · 2 · 37 · 76 · 1015 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,264591,-98936573] |
[a1,a2,a3,a4,a6] |
Generators |
[737:-22639:1] [190726:29359873:8] |
Generators of the group modulo torsion |
j |
23885383766399/63060603006 |
j-invariant |
L |
8.6354403714482 |
L(r)(E,1)/r! |
Ω |
0.12424290004728 |
Real period |
R |
1.7376124447055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694i2 1818d2 |
Quadratic twists by: -3 -7 |