Atkin-Lehner |
2+ 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290z |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
820518660 = 22 · 38 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,0] |
[a1,a2,a3,a4,a6] |
j |
1948441249/1125540 |
j-invariant |
L |
2.6664086926447 |
L(r)(E,1)/r! |
Ω |
1.3332043463445 |
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 |
14430bi1 |
Quadratic twists by: -3 |