Atkin-Lehner |
2- 3- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670x |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-7394671691343000 = -1 · 23 · 37 · 53 · 23 · 435 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-585925,-172726375] |
[a1,a2,a3,a4,a6] |
j |
-22245893028320494453201/7394671691343000 |
j-invariant |
L |
5.4355179906873 |
L(r)(E,1)/r! |
Ω |
0.086278063344237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010m1 |
Quadratic twists by: -3 |