Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bx |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-614739456000 = -1 · 212 · 39 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,-39184] |
[a1,a2,a3,a4,a6] |
j |
-28094464/205875 |
j-invariant |
L |
2.3071600448282 |
L(r)(E,1)/r! |
Ω |
0.38452667411137 |
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 |
2745d1 14640r1 |
Quadratic twists by: -4 -3 |