Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600br |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
158722560000000 = 215 · 32 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87408,9957312] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:4150:1] [-72:3984:1] |
Generators of the group modulo torsion |
j |
1153990560169/2480040 |
j-invariant |
L |
8.5526429283978 |
L(r)(E,1)/r! |
Ω |
0.57671354213126 |
Real period |
R |
0.92687295155736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450z2 19920o2 |
Quadratic twists by: -4 5 |