Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200cy |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-175616000 = -1 · 212 · 53 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,757] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-20:1] [-9:28:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
7.1442639338275 |
L(r)(E,1)/r! |
Ω |
1.6086292284543 |
Real period |
R |
0.55515153892026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200ba1 78400eq1 39200bb1 39200cv1 |
Quadratic twists by: -4 8 5 -7 |