Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686bs |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-3.0182150800991E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,778241,-5978542] |
[a1,a2,a3,a4,a6] |
j |
41781923/24192 |
j-invariant |
L |
1.4935926545508 |
L(r)(E,1)/r! |
Ω |
0.12446605457031 |
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 |
7098g1 49686dm1 |
Quadratic twists by: -7 13 |