Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200g |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
50960000000 = 210 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:112:1] |
Generators of the group modulo torsion |
j |
7086244/3185 |
j-invariant |
L |
3.7221178305275 |
L(r)(E,1)/r! |
Ω |
1.0103755738417 |
Real period |
R |
1.8419476513942 |
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 |
36400f1 3640i1 127400d1 |
Quadratic twists by: -4 5 -7 |