Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830u |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
-1.21565609984E+20 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9946635,12085130225] |
[a1,a2,a3,a4,a6] |
Generators |
[3070:-103935:1] |
Generators of the group modulo torsion |
j |
-643969879566315506524489/719323136000000000 |
j-invariant |
L |
8.1634414924179 |
L(r)(E,1)/r! |
Ω |
0.18542667683037 |
Real period |
R |
0.16305619562009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cu2 106470u2 59150i2 82810bw2 |
Quadratic twists by: -4 -3 5 -7 |