Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110co |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1926965700000 = -1 · 25 · 39 · 55 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,463,66561] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-276:1] |
Generators of the group modulo torsion |
j |
15087533111/2643300000 |
j-invariant |
L |
9.4172287607838 |
L(r)(E,1)/r! |
Ω |
0.64136595755844 |
Real period |
R |
0.14683081702416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370d1 |
Quadratic twists by: -3 |