Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cz |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.8594250290703E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3806368,7155013088] |
[a1,a2,a3,a4,a6] |
Generators |
[15562:-674817:8] |
Generators of the group modulo torsion |
j |
-119120411792671966610/363168950990295879 |
j-invariant |
L |
10.258250603945 |
L(r)(E,1)/r! |
Ω |
0.10761824813625 |
Real period |
R |
0.56738533226244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800p1 |
Quadratic twists by: 5 |