Atkin-Lehner |
2- 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bb |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15588866055340032 = 217 · 3 · 78 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88088,8102640] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:4002:1] |
Generators of the group modulo torsion |
j |
18455207956809625/3805875501792 |
j-invariant |
L |
5.433288729168 |
L(r)(E,1)/r! |
Ω |
0.37173271579698 |
Real period |
R |
3.6540291509172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558j2 |
Quadratic twists by: -4 |