Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bi |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
268569000000 = 26 · 33 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1622,-2779] |
[a1,a2,a3,a4,a6] |
j |
17468734953123/9947000000 |
j-invariant |
L |
4.8805279278483 |
L(r)(E,1)/r! |
Ω |
0.81342132130805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18270c3 91350b1 127890dh1 |
Quadratic twists by: -3 5 -7 |