Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440z |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-214400000 = -1 · 210 · 55 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -5 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4825,-130625] |
[a1,a2,a3,a4,a6] |
Generators |
[90:415:1] |
Generators of the group modulo torsion |
j |
-12134048168704/209375 |
j-invariant |
L |
5.1315321125475 |
L(r)(E,1)/r! |
Ω |
0.28640940790064 |
Real period |
R |
3.5833544366865 |
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 |
21440n1 5360k1 107200cm1 |
Quadratic twists by: -4 8 5 |