Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fm |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15966720 |
Modular degree for the optimal curve |
Δ |
-4.8061315053408E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15182412,24379805781] |
[a1,a2,a3,a4,a6] |
Generators |
[4825:455837:1] |
Generators of the group modulo torsion |
j |
954990717791/1185901920 |
j-invariant |
L |
7.4921272169917 |
L(r)(E,1)/r! |
Ω |
0.062581891207246 |
Real period |
R |
5.9858587301171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bb1 127050ba1 |
Quadratic twists by: 5 -11 |