Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bu |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-10978196254097408 = -1 · 231 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -1 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199701,-34667283] |
[a1,a2,a3,a4,a6] |
Generators |
[1055:-30992:1] |
Generators of the group modulo torsion |
j |
-2439805411363825017/30410515939328 |
j-invariant |
L |
5.0866251162075 |
L(r)(E,1)/r! |
Ω |
0.11283722849575 |
Real period |
R |
0.36354287332811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918t1 |
Quadratic twists by: -19 |