Atkin-Lehner |
2+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18040c |
Isogeny class |
Conductor |
18040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1082906924000000000 = -1 · 211 · 59 · 115 · 412 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11+ 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,252440,11196400] |
[a1,a2,a3,a4,a6] |
j |
868693464049385518/528763146484375 |
j-invariant |
L |
3.0551325142583 |
L(r)(E,1)/r! |
Ω |
0.16972958412546 |
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 |
36080e1 90200l1 |
Quadratic twists by: -4 5 |