Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784u |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6.1772215341969E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1907052,939850380] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:39690:1] |
Generators of the group modulo torsion |
j |
620742479063632/49991146569 |
j-invariant |
L |
8.7640148335914 |
L(r)(E,1)/r! |
Ω |
0.19243556040774 |
Real period |
R |
3.7952162683198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392b2 4368k2 |
Quadratic twists by: -4 13 |