Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800dx |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-777924000000000 = -1 · 211 · 34 · 59 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59208,5685588] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-750:1] |
Generators of the group modulo torsion |
j |
-2390122/81 |
j-invariant |
L |
8.4742009112544 |
L(r)(E,1)/r! |
Ω |
0.50155270575614 |
Real period |
R |
1.0559958123391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400x1 58800bn1 58800bw1 |
Quadratic twists by: -4 5 -7 |