Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984f |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-776965230627775488 = -1 · 210 · 39 · 135 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -5 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-415011,-111301486] |
[a1,a2,a3,a4,a6] |
j |
-10589490159355012/1040816334753 |
j-invariant |
L |
0.37411000904128 |
L(r)(E,1)/r! |
Ω |
0.093527521635027 |
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 |
43992d1 29328a1 |
Quadratic twists by: -4 -3 |