Atkin-Lehner |
2- 3+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bt |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
419904 |
Modular degree for the optimal curve |
Δ |
-26433000000000 = -1 · 29 · 33 · 59 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148268,-21938769] |
[a1,a2,a3,a4,a6] |
Generators |
[1061:31317:1] |
Generators of the group modulo torsion |
j |
-13350560217951989187/979000000000 |
j-invariant |
L |
11.095872094873 |
L(r)(E,1)/r! |
Ω |
0.12164829316977 |
Real period |
R |
5.0673735118218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110d1 |
Quadratic twists by: -3 |