Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bt |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1.6353772234845E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4778132,4467365439] |
[a1,a2,a3,a4,a6] |
j |
-16548953231297345532409/2243315807248912200 |
j-invariant |
L |
3.4838512557404 |
L(r)(E,1)/r! |
Ω |
0.14516046898918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090b1 91350br1 127890er1 |
Quadratic twists by: -3 5 -7 |