Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056bc |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-109532863027740672 = -1 · 232 · 38 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135795,24990514] |
[a1,a2,a3,a4,a6] |
j |
-92744373984625/36682334208 |
j-invariant |
L |
2.5079939884486 |
L(r)(E,1)/r! |
Ω |
0.3134992485711 |
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 |
5382b1 14352y1 |
Quadratic twists by: -4 -3 |