Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280a |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-4.2523664965552E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1570911,820737540] |
[a1,a2,a3,a4,a6] |
Generators |
[-11446:93795:8] |
Generators of the group modulo torsion |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
4.5227189802985 |
L(r)(E,1)/r! |
Ω |
0.19823021153021 |
Real period |
R |
5.7038719595085 |
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 |
40560o1 60840br1 101400cx1 1560j1 |
Quadratic twists by: -4 -3 5 13 |