Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264b |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99034889158656 = 215 · 312 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-243617,46360545] |
[a1,a2,a3,a4,a6] |
Generators |
[385:3080:1] |
Generators of the group modulo torsion |
j |
48797585343528776/3022304967 |
j-invariant |
L |
5.9502408006244 |
L(r)(E,1)/r! |
Ω |
0.56764541305117 |
Real period |
R |
2.6205799721537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264x4 49632d4 |
Quadratic twists by: -4 8 |