Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440m |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 -6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16112,-802784] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1375:1] |
Generators of the group modulo torsion |
j |
-28232681739264/654296875 |
j-invariant |
L |
4.5364593330804 |
L(r)(E,1)/r! |
Ω |
0.21158602208971 |
Real period |
R |
2.1440260033609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440y1 2680c1 107200b1 |
Quadratic twists by: -4 8 5 |