Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600do |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
24634368000000 = 216 · 37 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7275,4250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:450:1] |
Generators of the group modulo torsion |
j |
912673/528 |
j-invariant |
L |
4.7947990012276 |
L(r)(E,1)/r! |
Ω |
0.56916977513003 |
Real period |
R |
1.0530247763361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bl1 13200bu1 1584n1 |
Quadratic twists by: -4 -3 5 |