Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824x |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-2.257408673277E+20 |
Discriminant |
Eigenvalues |
2- 1 -1 3 2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38139976,-90676227212] |
[a1,a2,a3,a4,a6] |
Generators |
[5376654293526:-42342158111968:751089429] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
8.7905688614076 |
L(r)(E,1)/r! |
Ω |
0.030375504204062 |
Real period |
R |
18.087290013264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478c1 6448i1 |
Quadratic twists by: -4 13 |