Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700i |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
7338988800 = 28 · 36 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,15460] |
[a1,a2,a3,a4,a6] |
Generators |
[24:22:1] |
Generators of the group modulo torsion |
j |
40960000/1573 |
j-invariant |
L |
7.2007952639879 |
L(r)(E,1)/r! |
Ω |
1.3119146615147 |
Real period |
R |
0.9147946846843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998740554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300e1 128700br1 |
Quadratic twists by: -3 5 |