Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270o |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2219805000 = -1 · 23 · 37 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135,-2219] |
[a1,a2,a3,a4,a6] |
Generators |
[23:101:1] |
Generators of the group modulo torsion |
j |
371694959/3045000 |
j-invariant |
L |
2.8396298512917 |
L(r)(E,1)/r! |
Ω |
0.72475920274687 |
Real period |
R |
0.48975401770157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090v1 91350ey1 127890cz1 |
Quadratic twists by: -3 5 -7 |