Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144co |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2638001405952 = 216 · 35 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20193,-1108449] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:48:1] |
Generators of the group modulo torsion |
j |
13895296694500/40252707 |
j-invariant |
L |
8.7314354265055 |
L(r)(E,1)/r! |
Ω |
0.40056516218227 |
Real period |
R |
1.0898895172994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144l2 19536e2 |
Quadratic twists by: -4 8 |