Atkin-Lehner |
2- 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642cb |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
511403308035984 = 24 · 38 · 72 · 134 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43241,-3274599] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:258:1] [-111:440:1] |
Generators of the group modulo torsion |
j |
12265180810295113/701513454096 |
j-invariant |
L |
14.896009418047 |
L(r)(E,1)/r! |
Ω |
0.33225680828466 |
Real period |
R |
5.6041024015176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32214f2 |
Quadratic twists by: -3 |