Atkin-Lehner |
2+ 3- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526m |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
327936 |
Modular degree for the optimal curve |
Δ |
235907288025354 = 2 · 36 · 117 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16389,329827] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:959:1] |
Generators of the group modulo torsion |
j |
667833891758929/323603961626 |
j-invariant |
L |
5.6412849608525 |
L(r)(E,1)/r! |
Ω |
0.49545777628927 |
Real period |
R |
0.40664305334051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614e1 |
Quadratic twists by: -3 |