Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700bh |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1042470000 = -1 · 24 · 36 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:45:1] [15:45:1] |
Generators of the group modulo torsion |
j |
-172800/143 |
j-invariant |
L |
11.90644303832 |
L(r)(E,1)/r! |
Ω |
1.4260754471201 |
Real period |
R |
0.23191937683649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999946882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300k1 128700l1 |
Quadratic twists by: -3 5 |