Atkin-Lehner |
3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305bb |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-1.9795658384543E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11- 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-463433,246068381] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:16357:1] |
Generators of the group modulo torsion |
j |
-6213368639092321/11174133086325 |
j-invariant |
L |
10.730499040649 |
L(r)(E,1)/r! |
Ω |
0.19345537548299 |
Real period |
R |
1.3866891806688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7755i1 |
Quadratic twists by: -11 |