Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bj |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1574256725065728 = -1 · 217 · 310 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145953,-21595329] |
[a1,a2,a3,a4,a6] |
Generators |
[474:3993:1] |
Generators of the group modulo torsion |
j |
-2623347602239250/12010625649 |
j-invariant |
L |
10.637749305464 |
L(r)(E,1)/r! |
Ω |
0.12209478021205 |
Real period |
R |
4.3563489314176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bt2 10824a2 |
Quadratic twists by: -4 8 |