Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728j |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
400743229565952 = 210 · 39 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22491,-870534] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:594:1] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
4.1476571298319 |
L(r)(E,1)/r! |
Ω |
0.39965597155715 |
Real period |
R |
2.5945171751613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bc2 91728h2 1872a2 |
Quadratic twists by: -4 -3 -7 |