Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kf |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1800 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-6.6462262765439E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-294638,1241856132] |
[a1,a2,a3,a4,a6] |
Generators |
[-1004:23434:1] |
Generators of the group modulo torsion |
j |
-961749189765625/225967964931072 |
j-invariant |
L |
11.518719347962 |
L(r)(E,1)/r! |
Ω |
0.13168492281032 |
Real period |
R |
0.048595453352717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550cn1 13650bt1 |
Quadratic twists by: 5 -7 |