Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cr |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-57099900000000 = -1 · 28 · 3 · 58 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4092,350688] |
[a1,a2,a3,a4,a6] |
Generators |
[38:750:1] |
Generators of the group modulo torsion |
j |
1893932336/14274975 |
j-invariant |
L |
5.6676862932594 |
L(r)(E,1)/r! |
Ω |
0.45691255148284 |
Real period |
R |
1.5505391238207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160a1 |
Quadratic twists by: 5 |