Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7110329267334E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34061004,-76486945680] |
[a1,a2,a3,a4,a6] |
Generators |
[-206501251705:291041212319:61629875] |
Generators of the group modulo torsion |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
7.5136911387122 |
L(r)(E,1)/r! |
Ω |
0.062495018099793 |
Real period |
R |
15.02858021162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gn4 1638e3 5824e4 |
Quadratic twists by: -4 8 -3 |