Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800w |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-13516800 = -1 · 214 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
27440/33 |
j-invariant |
L |
3.3834950007429 |
L(r)(E,1)/r! |
Ω |
1.1996355448068 |
Real period |
R |
1.4102178846849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hh1 3300n1 52800du1 |
Quadratic twists by: -4 8 5 |