Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775t |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
660960 |
Modular degree for the optimal curve |
Δ |
-259401334359375 = -1 · 315 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 -3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1431976,-659675527] |
[a1,a2,a3,a4,a6] |
Generators |
[189395:3091132:125] |
Generators of the group modulo torsion |
j |
-20783106726980601457/16601685399 |
j-invariant |
L |
7.9652801566915 |
L(r)(E,1)/r! |
Ω |
0.069005807087511 |
Real period |
R |
7.6952752119928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471a1 |
Quadratic twists by: 5 |