Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984v |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
40023569664 = 28 · 39 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 3 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54432,-4887972] |
[a1,a2,a3,a4,a6] |
j |
3539609321472/7943 |
j-invariant |
L |
2.5004951795315 |
L(r)(E,1)/r! |
Ω |
0.31256190140857 |
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 |
21996a1 87984p1 |
Quadratic twists by: -4 -3 |