Atkin-Lehner |
3+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18531b |
Isogeny class |
Conductor |
18531 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-55593 = -1 · 33 · 29 · 71 |
Discriminant |
Eigenvalues |
-1 3+ -2 -3 4 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [0:4:1] |
Generators of the group modulo torsion |
j |
-5000211/2059 |
j-invariant |
L |
4.0439354819684 |
L(r)(E,1)/r! |
Ω |
3.312986708862 |
Real period |
R |
0.61031568148934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18531a1 |
Quadratic twists by: -3 |