Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cb |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27467747328 = 212 · 3 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-761,1593] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:80:1] |
Generators of the group modulo torsion |
j |
11914842304/6705993 |
j-invariant |
L |
5.3486687275453 |
L(r)(E,1)/r! |
Ω |
1.022298896331 |
Real period |
R |
2.616000441134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dj2 12768y1 76608ep2 |
Quadratic twists by: -4 8 -3 |