Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.4304761238628E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18025164,-28887987312] |
[a1,a2,a3,a4,a6] |
Generators |
[-328495:-2278549:125] |
Generators of the group modulo torsion |
j |
3389174547561866673/74853681183008 |
j-invariant |
L |
7.6956640414322 |
L(r)(E,1)/r! |
Ω |
0.073369148767856 |
Real period |
R |
4.3704019165616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cb3 13104cd3 5824bd4 |
Quadratic twists by: -4 8 -3 |