Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120060k |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-5.1469862587777E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -7 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,183054768,-531688436444] |
[a1,a2,a3,a4,a6] |
Generators |
[222788:24597945:64] |
Generators of the group modulo torsion |
j |
3634957643593687611539456/2757944454506220671875 |
j-invariant |
L |
7.2870503702208 |
L(r)(E,1)/r! |
Ω |
0.029156239278931 |
Real period |
R |
6.942529965477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047667 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13340b2 |
Quadratic twists by: -3 |