Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350cg |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
1188 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-50769542880000000 = -1 · 211 · 39 · 57 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-518938,144251492] |
[a1,a2,a3,a4,a6] |
Generators |
[392:-1246:1] |
Generators of the group modulo torsion |
j |
-989122678774193881/3249250744320 |
j-invariant |
L |
10.99779603632 |
L(r)(E,1)/r! |
Ω |
0.3574457946636 |
Real period |
R |
0.025898763418516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9870b1 |
Quadratic twists by: 5 |