Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bq |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
324480 |
Modular degree for the optimal curve |
Δ |
-2494794921285744 = -1 · 24 · 313 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5294,2396779] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1127:1] |
Generators of the group modulo torsion |
j |
1025353226967296/155924682580359 |
j-invariant |
L |
5.1979707106653 |
L(r)(E,1)/r! |
Ω |
0.35248160699619 |
Real period |
R |
1.474678568361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21252i1 |
Quadratic twists by: -4 |