Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600c |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68183654400000000 = 226 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2176033,1236171937] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:39936:1] |
Generators of the group modulo torsion |
j |
278202094583041/16646400 |
j-invariant |
L |
4.1701311760301 |
L(r)(E,1)/r! |
Ω |
0.32903296413719 |
Real period |
R |
3.1684752213818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600hu2 2550h2 16320bb2 |
Quadratic twists by: -4 8 5 |