Atkin-Lehner |
2- 3+ 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bw |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-413015625000 = -1 · 23 · 33 · 59 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14447,672671] |
[a1,a2,a3,a4,a6] |
Generators |
[21:604:1] |
Generators of the group modulo torsion |
j |
-12349938179213523/15296875000 |
j-invariant |
L |
11.218566853677 |
L(r)(E,1)/r! |
Ω |
0.94267499952869 |
Real period |
R |
1.9834631685623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004224 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110a2 |
Quadratic twists by: -3 |