Atkin-Lehner |
2- 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470r |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-373583340 = -1 · 22 · 39 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7125,-232083] |
[a1,a2,a3,a4,a6] |
Generators |
[102:273:1] |
Generators of the group modulo torsion |
j |
-40002038893026001/373583340 |
j-invariant |
L |
10.420462272109 |
L(r)(E,1)/r! |
Ω |
0.25982012119995 |
Real period |
R |
2.2281360196395 |
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 |
85410c1 |
Quadratic twists by: -3 |