Atkin-Lehner |
2- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
108100d |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22896 |
Modular degree for the optimal curve |
Δ |
-9945200 = -1 · 24 · 52 · 232 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -6 -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42,97] |
[a1,a2,a3,a4,a6] |
Generators |
[6:23:1] |
Generators of the group modulo torsion |
j |
20000000/24863 |
j-invariant |
L |
3.6222119496132 |
L(r)(E,1)/r! |
Ω |
1.5375593824299 |
Real period |
R |
0.39263653885527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108100l1 |
Quadratic twists by: 5 |