Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bf |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-95935532490 = -1 · 2 · 39 · 5 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-893,-17873] |
[a1,a2,a3,a4,a6] |
j |
-3996969003/4874030 |
j-invariant |
L |
4.17342585484 |
L(r)(E,1)/r! |
Ω |
0.417342585484 |
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 |
18270i1 91350d1 127890ea1 |
Quadratic twists by: -3 5 -7 |