Atkin-Lehner |
2+ 5- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950k |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2916000 |
Modular degree for the optimal curve |
Δ |
-13391134720000 = -1 · 218 · 54 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16232901,25172072048] |
[a1,a2,a3,a4,a6] |
Generators |
[2323:-906:1] |
Generators of the group modulo torsion |
j |
-756888795693780247195225/21425815552 |
j-invariant |
L |
2.9806571089639 |
L(r)(E,1)/r! |
Ω |
0.37343461117226 |
Real period |
R |
0.6651448076244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950u1 |
Quadratic twists by: 5 |