Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32320a |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
40400000000 = 210 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,-6392] |
[a1,a2,a3,a4,a6] |
Generators |
[-2595:8621:125] |
Generators of the group modulo torsion |
j |
97960237056/39453125 |
j-invariant |
L |
5.9552714852 |
L(r)(E,1)/r! |
Ω |
0.88636755565484 |
Real period |
R |
6.7187381207792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32320l1 4040b1 |
Quadratic twists by: -4 8 |