Atkin-Lehner |
2+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86848b |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-43369806848 = -1 · 210 · 233 · 592 |
Discriminant |
Eigenvalues |
2+ 1 -2 -2 -6 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1169,17975] |
[a1,a2,a3,a4,a6] |
Generators |
[50:295:1] |
Generators of the group modulo torsion |
j |
-172678690048/42353327 |
j-invariant |
L |
4.3339774484121 |
L(r)(E,1)/r! |
Ω |
1.0868234494045 |
Real period |
R |
1.9938737303873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848y1 10856d1 |
Quadratic twists by: -4 8 |