Atkin-Lehner |
5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13975g |
Isogeny class |
Conductor |
13975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1376 |
Modular degree for the optimal curve |
Δ |
-69875 = -1 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
1 -1 5- 0 -6 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] [4:0:1] |
Generators of the group modulo torsion |
j |
-83453453/559 |
j-invariant |
L |
6.6185998708547 |
L(r)(E,1)/r! |
Ω |
3.4851303807314 |
Real period |
R |
0.94954838812447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125775bi1 13975e1 |
Quadratic twists by: -3 5 |