Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21280g |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-40057131520 = -1 · 29 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -3 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1427,-22874] |
[a1,a2,a3,a4,a6] |
j |
-627661760328/78236585 |
j-invariant |
L |
0.77139198360826 |
L(r)(E,1)/r! |
Ω |
0.38569599180413 |
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 |
21280z1 42560e1 106400bx1 |
Quadratic twists by: -4 8 5 |