Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
18540a |
Isogeny class |
Conductor |
18540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2595006720 = -1 · 28 · 39 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[27:162:1] |
Generators of the group modulo torsion |
j |
574992/515 |
j-invariant |
L |
5.0169979800694 |
L(r)(E,1)/r! |
Ω |
0.79202332884505 |
Real period |
R |
1.055734470891 |
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 |
74160u1 18540b1 92700a1 |
Quadratic twists by: -4 -3 5 |