Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100v |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-74421396000000 = -1 · 28 · 33 · 56 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1092,415188] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:354:1] |
Generators of the group modulo torsion |
j |
35969456/18605349 |
j-invariant |
L |
6.8966750625252 |
L(r)(E,1)/r! |
Ω |
0.47726047281279 |
Real period |
R |
4.8168491152451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3444e1 |
Quadratic twists by: 5 |