Atkin-Lehner |
3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14787b |
Isogeny class |
Conductor |
14787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
-10779723 = -1 · 38 · 31 · 53 |
Discriminant |
Eigenvalues |
-2 3- -2 -5 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21,162] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [-1:13:1] |
Generators of the group modulo torsion |
j |
-1404928/14787 |
j-invariant |
L |
2.8403669140565 |
L(r)(E,1)/r! |
Ω |
1.9405761672928 |
Real period |
R |
0.36591798893649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4929b1 |
Quadratic twists by: -3 |