Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724d |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
606960954557031888 = 24 · 314 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268781,38452218] |
[a1,a2,a3,a4,a6] |
Generators |
[26275042130:66700552072:61629875] |
Generators of the group modulo torsion |
j |
75760866033664/21413352213 |
j-invariant |
L |
7.8781280478822 |
L(r)(E,1)/r! |
Ω |
0.26955339397929 |
Real period |
R |
14.613297817676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884b1 |
Quadratic twists by: -11 |