Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240f |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3312995840000 = 212 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4508,76832] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:392:1] |
Generators of the group modulo torsion |
j |
21024576/6875 |
j-invariant |
L |
5.7938813358369 |
L(r)(E,1)/r! |
Ω |
0.73319760527653 |
Real period |
R |
1.9755524588503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240t3 1760f2 |
Quadratic twists by: -4 -7 |