Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bh |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-322808194953216 = -1 · 212 · 32 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89544,10319796] |
[a1,a2,a3,a4,a6] |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
2.1809537975294 |
L(r)(E,1)/r! |
Ω |
0.54523844938235 |
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 |
651a1 41664ck1 31248bq1 72912bj1 |
Quadratic twists by: -4 8 -3 -7 |