Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cb |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-199795969920000000 = -1 · 213 · 3 · 57 · 1014 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21008,21544512] |
[a1,a2,a3,a4,a6] |
Generators |
[181:4862:1] |
Generators of the group modulo torsion |
j |
-16022066761/3121812030 |
j-invariant |
L |
6.3745019539798 |
L(r)(E,1)/r! |
Ω |
0.25926517200781 |
Real period |
R |
6.1467009792225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011523 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15150bl4 24240bm3 |
Quadratic twists by: -4 5 |