Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650cd |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-60689250000000 = -1 · 27 · 38 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29255,-1954753] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/5328000 |
j-invariant |
L |
5.1040551017819 |
L(r)(E,1)/r! |
Ω |
0.1822876822065 |
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 |
5550p1 3330e1 |
Quadratic twists by: -3 5 |