Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200br |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2015625000000 = 26 · 3 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3258,22512] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:300:1] [-13:250:1] |
Generators of the group modulo torsion |
j |
3825694144/2015625 |
j-invariant |
L |
8.6224673268828 |
L(r)(E,1)/r! |
Ω |
0.72695923653083 |
Real period |
R |
5.9305026293414 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200bc1 20640l1 |
Quadratic twists by: -4 5 |