Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984p |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
54902016 = 28 · 33 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -3 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6048,181036] |
[a1,a2,a3,a4,a6] |
Generators |
[38:78:1] |
Generators of the group modulo torsion |
j |
3539609321472/7943 |
j-invariant |
L |
4.7875819753841 |
L(r)(E,1)/r! |
Ω |
1.715919385614 |
Real period |
R |
0.34876215759903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21996c1 87984v1 |
Quadratic twists by: -4 -3 |