Atkin-Lehner |
2- 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870q |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-38893092864000 = -1 · 218 · 3 · 53 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7794,-137781] |
[a1,a2,a3,a4,a6] |
Generators |
[51:603:1] |
Generators of the group modulo torsion |
j |
52360216533529631/38893092864000 |
j-invariant |
L |
5.780287129526 |
L(r)(E,1)/r! |
Ω |
0.36251280206398 |
Real period |
R |
0.88583647507921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610o1 94350t1 |
Quadratic twists by: -3 5 |