Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560br |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
73267920 = 24 · 32 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1805,-28920] |
[a1,a2,a3,a4,a6] |
j |
40670164811776/4579245 |
j-invariant |
L |
1.4648499475318 |
L(r)(E,1)/r! |
Ω |
0.73242496435755 |
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 |
19140i1 |
Quadratic twists by: -4 |