Atkin-Lehner |
3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12831c |
Isogeny class |
Conductor |
12831 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-13902863247 = -1 · 36 · 74 · 132 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,-5963] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1038:1] |
Generators of the group modulo torsion |
j |
-2313060765625/13902863247 |
j-invariant |
L |
7.0942903008774 |
L(r)(E,1)/r! |
Ω |
0.52407898507755 |
Real period |
R |
1.1280567915139 |
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 |
38493g1 89817h1 |
Quadratic twists by: -3 -7 |