Atkin-Lehner |
2+ 5- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86950l |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-4427882529282031250 = -1 · 2 · 58 · 376 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 3 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,180799,-96805202] |
[a1,a2,a3,a4,a6] |
Generators |
[352:3061:1] |
Generators of the group modulo torsion |
j |
1673228304787415/11335379274962 |
j-invariant |
L |
6.3464282417007 |
L(r)(E,1)/r! |
Ω |
0.12230840811766 |
Real period |
R |
1.4413536734988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950s1 |
Quadratic twists by: 5 |