Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21280q |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-467070464000 = -1 · 212 · 53 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4061,-106261] |
[a1,a2,a3,a4,a6] |
j |
-1808713045504/114030875 |
j-invariant |
L |
1.1917398594801 |
L(r)(E,1)/r! |
Ω |
0.29793496487002 |
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 |
21280e1 42560be1 106400m1 |
Quadratic twists by: -4 8 5 |