Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960x |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1386690969600 = 216 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3267,44226] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:270:1] |
Generators of the group modulo torsion |
j |
47832147/17200 |
j-invariant |
L |
5.7588009054558 |
L(r)(E,1)/r! |
Ω |
0.78300534634443 |
Real period |
R |
1.8386850525165 |
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 |
3870c1 123840dt1 30960r1 |
Quadratic twists by: -4 8 -3 |