Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642bj |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
682310408994816 = 217 · 3 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288464,-59643648] |
[a1,a2,a3,a4,a6] |
j |
22563705894034033/5799542784 |
j-invariant |
L |
7.0042599738778 |
L(r)(E,1)/r! |
Ω |
0.20600764629052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136bv1 37926u1 1806k1 |
Quadratic twists by: -4 -3 -7 |