Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568br |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-502061941112832 = -1 · 214 · 32 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7759,1048047] |
[a1,a2,a3,a4,a6] |
Generators |
[25055:408816:125] |
Generators of the group modulo torsion |
j |
21296/207 |
j-invariant |
L |
10.66788580909 |
L(r)(E,1)/r! |
Ω |
0.38400860066578 |
Real period |
R |
6.9450826014157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568cx1 12696i1 4416o1 |
Quadratic twists by: -4 8 -23 |