Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834r |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
2079108 = 22 · 36 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140,-597] |
[a1,a2,a3,a4,a6] |
Generators |
[5663:9813:343] |
Generators of the group modulo torsion |
j |
413493625/2852 |
j-invariant |
L |
7.7596823226478 |
L(r)(E,1)/r! |
Ω |
1.3892828883157 |
Real period |
R |
5.5853868120806 |
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 |
102672bf1 1426a1 |
Quadratic twists by: -4 -3 |