Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cq |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
599539304000 = 26 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2598,-35869] |
[a1,a2,a3,a4,a6] |
Generators |
[111:973:1] |
Generators of the group modulo torsion |
j |
131872229/40768 |
j-invariant |
L |
11.809222122174 |
L(r)(E,1)/r! |
Ω |
0.68486222691347 |
Real period |
R |
1.4369340355499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850bm1 4550x1 |
Quadratic twists by: 5 -7 |