Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920p |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1693040640 = -1 · 214 · 3 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880,-10540] |
[a1,a2,a3,a4,a6] |
j |
-18420660721/413340 |
j-invariant |
L |
0.87530859672491 |
L(r)(E,1)/r! |
Ω |
0.43765429836246 |
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 |
2490h1 79680bg1 59760be1 99600bx1 |
Quadratic twists by: -4 8 -3 5 |