Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264b |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
96572601962496 = 212 · 36 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16137,637065] |
[a1,a2,a3,a4,a6] |
Generators |
[2745:143640:1] |
Generators of the group modulo torsion |
j |
113464257070528/23577295401 |
j-invariant |
L |
5.9502408006244 |
L(r)(E,1)/r! |
Ω |
0.56764541305117 |
Real period |
R |
5.2411599443074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961635 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99264x2 49632d1 |
Quadratic twists by: -4 8 |