Atkin-Lehner |
2- 3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472g |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-228088922725564416 = -1 · 214 · 37 · 236 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30360,-22877388] |
[a1,a2,a3,a4,a6] |
Generators |
[2586:36501:8] |
Generators of the group modulo torsion |
j |
755535301286039/55685772149796 |
j-invariant |
L |
8.4602224672754 |
L(r)(E,1)/r! |
Ω |
0.1496024085662 |
Real period |
R |
2.0196920978624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934a1 |
Quadratic twists by: -4 |