Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ea |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1.2611924591536E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1344892,1599366431] |
[a1,a2,a3,a4,a6] |
Generators |
[158270:22222371:8] |
Generators of the group modulo torsion |
j |
1721540467559/8070721400 |
j-invariant |
L |
11.05207222345 |
L(r)(E,1)/r! |
Ω |
0.10989033582552 |
Real period |
R |
5.5874250249168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8470n2 76230x2 |
Quadratic twists by: -3 -11 |