Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ep |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
32893599744000 = 218 · 310 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27393,-1732257] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:105:1] |
Generators of the group modulo torsion |
j |
69375867029/1003833 |
j-invariant |
L |
9.200964358673 |
L(r)(E,1)/r! |
Ω |
0.3714230713144 |
Real period |
R |
2.4772193944854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600hh2 1275b2 81600cl2 |
Quadratic twists by: -4 8 5 |