Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582n |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6745676948892 = 22 · 36 · 77 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5857,-119416] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:176:1] [-38:239:1] |
Generators of the group modulo torsion |
j |
188822850553/57337308 |
j-invariant |
L |
5.3918043600522 |
L(r)(E,1)/r! |
Ω |
0.5586109792324 |
Real period |
R |
0.40217346839638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656cw2 46746bh2 2226d2 |
Quadratic twists by: -4 -3 -7 |