Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200n |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-205578000000000 = -1 · 210 · 37 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12792,-402912] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-1500:1] |
Generators of the group modulo torsion |
j |
115737772/102789 |
j-invariant |
L |
7.1617686142762 |
L(r)(E,1)/r! |
Ω |
0.30962646756578 |
Real period |
R |
0.82608393436367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400k1 84600ce1 28200w1 |
Quadratic twists by: -4 -3 5 |