Atkin-Lehner |
2- 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bj |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-4364242597050 = -1 · 2 · 3 · 52 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,350,-100450] |
[a1,a2,a3,a4,a6] |
j |
4740785330399/4364242597050 |
j-invariant |
L |
7.241761303585 |
L(r)(E,1)/r! |
Ω |
0.36208806517925 |
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 |
64890x1 108150e1 |
Quadratic twists by: -3 5 |