Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448m |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4109647104 = 28 · 36 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2871,59130] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:270:1] [-27:342:1] |
Generators of the group modulo torsion |
j |
14023479888/22021 |
j-invariant |
L |
8.5034809484914 |
L(r)(E,1)/r! |
Ω |
1.3872631099909 |
Real period |
R |
0.76621018099822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9272b2 |
Quadratic twists by: -3 |