Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320be |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6744258505269575680 = -1 · 230 · 5 · 133 · 833 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -6 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-927160,-365323920] |
[a1,a2,a3,a4,a6] |
Generators |
[245580:9179136:125] |
Generators of the group modulo torsion |
j |
-21519307577079107641/1646547486638080 |
j-invariant |
L |
9.9329973283278 |
L(r)(E,1)/r! |
Ω |
0.076590894247757 |
Real period |
R |
3.602472525479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790d2 |
Quadratic twists by: -4 |