Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270j |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
8769600 = 26 · 33 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-309,2165] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:67:1] |
Generators of the group modulo torsion |
j |
121066986123/324800 |
j-invariant |
L |
4.0557240587547 |
L(r)(E,1)/r! |
Ω |
2.3245951307604 |
Real period |
R |
0.8723506311028 |
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 |
18270bg1 91350db1 127890j1 |
Quadratic twists by: -3 5 -7 |