Atkin-Lehner |
3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389l |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7418880 |
Modular degree for the optimal curve |
Δ |
-4.1135776958965E+22 |
Discriminant |
Eigenvalues |
2 3- -4 7+ -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4564530,-10456704295] |
[a1,a2,a3,a4,a6] |
Generators |
[6498186:5856551603:8] |
Generators of the group modulo torsion |
j |
-975719213461504/3816212563107 |
j-invariant |
L |
9.6641810860624 |
L(r)(E,1)/r! |
Ω |
0.047175164745699 |
Real period |
R |
7.3163353294581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
987d1 |
Quadratic twists by: -47 |