Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440o |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13825281095680000 = -1 · 214 · 54 · 675 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26165,5895725] |
[a1,a2,a3,a4,a6] |
Generators |
[1660:67335:1] |
Generators of the group modulo torsion |
j |
-120915670441984/843828191875 |
j-invariant |
L |
8.321379899653 |
L(r)(E,1)/r! |
Ω |
0.34121138368636 |
Real period |
R |
1.219387789726 |
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 |
21440ba1 1340b1 107200h1 |
Quadratic twists by: -4 8 5 |