Atkin-Lehner |
2- 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630bc |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-11495068830 = -1 · 2 · 313 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-945,-12393] |
[a1,a2,a3,a4,a6] |
j |
-93335715380881/11495068830 |
j-invariant |
L |
5.5586298540663 |
L(r)(E,1)/r! |
Ω |
0.42758691185126 |
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 |
64890h1 108150r1 |
Quadratic twists by: -3 5 |