Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270be |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
5.3010758473718E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77236913,258927848417] |
[a1,a2,a3,a4,a6] |
Generators |
[-7233:666292:1] |
Generators of the group modulo torsion |
j |
1887272733697942730217586227/19633614249525248000000 |
j-invariant |
L |
7.6678769682564 |
L(r)(E,1)/r! |
Ω |
0.092989401771372 |
Real period |
R |
2.7486562347212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18270k3 91350a1 127890ds1 |
Quadratic twists by: -3 5 -7 |