Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368bb |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
154081951744 = 229 · 7 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 7- -6 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1345,-1567] |
[a1,a2,a3,a4,a6] |
j |
1027243729/587776 |
j-invariant |
L |
1.7088117142875 |
L(r)(E,1)/r! |
Ω |
0.85440585714373 |
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 |
18368d1 4592l1 128576ci1 |
Quadratic twists by: -4 8 -7 |