Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320bd |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-205818435829760 = -1 · 215 · 5 · 133 · 833 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -3 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2880,693760] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1328:1] |
Generators of the group modulo torsion |
j |
-645196518721/50248641560 |
j-invariant |
L |
5.7598454896001 |
L(r)(E,1)/r! |
Ω |
0.46432906181477 |
Real period |
R |
0.34457396974939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790j2 |
Quadratic twists by: -4 |