Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10836f |
Isogeny class |
Conductor |
10836 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-46261559538432 = -1 · 28 · 36 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -5 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40008,3097460] |
[a1,a2,a3,a4,a6] |
j |
-37948686032896/247886443 |
j-invariant |
L |
2.5657198387993 |
L(r)(E,1)/r! |
Ω |
0.64142995969983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344bs1 1204a1 75852r1 |
Quadratic twists by: -4 -3 -7 |