Atkin-Lehner |
5+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18655c |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
914095 = 5 · 73 · 13 · 41 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 0 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-250,1585] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
1731890916729/914095 |
j-invariant |
L |
2.7534162482776 |
L(r)(E,1)/r! |
Ω |
2.7615929801962 |
Real period |
R |
0.33234637496339 |
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 |
93275h1 |
Quadratic twists by: 5 |