Atkin-Lehner |
3- 5- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
85905i |
Isogeny class |
Conductor |
85905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-521872875 = -1 · 37 · 53 · 23 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 -4 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103,996] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [-4:24:1] |
Generators of the group modulo torsion |
j |
167284151/715875 |
j-invariant |
L |
6.6437446166934 |
L(r)(E,1)/r! |
Ω |
1.1787403608033 |
Real period |
R |
0.93938479258734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28635b1 |
Quadratic twists by: -3 |