Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600o |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3835330560000000000 = 224 · 34 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673633,-190584863] |
[a1,a2,a3,a4,a6] |
Generators |
[-1701496:-5040693:4913] |
Generators of the group modulo torsion |
j |
8253429989329/936360000 |
j-invariant |
L |
7.3241749206282 |
L(r)(E,1)/r! |
Ω |
0.1678759851007 |
Real period |
R |
10.907121284603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994077 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600ii2 2550k2 16320bn2 |
Quadratic twists by: -4 8 5 |