Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840a |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-143947440 = -1 · 24 · 32 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49,546] |
[a1,a2,a3,a4,a6] |
Generators |
[10:44:1] |
Generators of the group modulo torsion |
j |
796706816/8996715 |
j-invariant |
L |
3.8949076962958 |
L(r)(E,1)/r! |
Ω |
1.3529836246184 |
Real period |
R |
2.8787544988908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920h1 87360ha1 65520be1 109200ca1 |
Quadratic twists by: -4 8 -3 5 |