Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630g |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-12469264563000 = -1 · 23 · 3 · 53 · 79 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25379,-1567498] |
[a1,a2,a3,a4,a6] |
j |
-1807684483034720809/12469264563000 |
j-invariant |
L |
1.7014395663146 |
L(r)(E,1)/r! |
Ω |
0.18904884070162 |
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 |
64890ci2 108150by2 |
Quadratic twists by: -3 5 |