Atkin-Lehner |
3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13671g |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
162780597 = 37 · 74 · 31 |
Discriminant |
Eigenvalues |
-2 3- -4 7+ -3 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] [-7:31:1] |
Generators of the group modulo torsion |
j |
200704/93 |
j-invariant |
L |
2.9012207383331 |
L(r)(E,1)/r! |
Ω |
1.6252480602926 |
Real period |
R |
0.14875784242899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557i1 13671u1 |
Quadratic twists by: -3 -7 |