Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gh |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-990000000000 = -1 · 210 · 32 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,60363] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:300:1] |
Generators of the group modulo torsion |
j |
-67108864/61875 |
j-invariant |
L |
6.56676493778 |
L(r)(E,1)/r! |
Ω |
0.80250557536886 |
Real period |
R |
2.045706951869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bb1 13200bs1 10560bs1 |
Quadratic twists by: -4 8 5 |