Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912k |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
35249292288 = 210 · 35 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4648,123196] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:448:1] |
Generators of the group modulo torsion |
j |
10847147534500/34423137 |
j-invariant |
L |
4.2179322367761 |
L(r)(E,1)/r! |
Ω |
1.1650759289107 |
Real period |
R |
1.8101533694544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19824g1 79296ba1 29736h1 69384bb1 |
Quadratic twists by: -4 8 -3 -7 |