Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dn |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-1580442845184 = -1 · 218 · 34 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2303,43775] |
[a1,a2,a3,a4,a6] |
j |
5150827583/6028911 |
j-invariant |
L |
4.5136825893021 |
L(r)(E,1)/r! |
Ω |
0.56421032364925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664s1 10416u1 124992fe1 |
Quadratic twists by: -4 8 -3 |