Atkin-Lehner |
5- 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127925j |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
878080 |
Modular degree for the optimal curve |
Δ |
-50559427966796875 = -1 · 59 · 77 · 17 · 432 |
Discriminant |
Eigenvalues |
0 0 5- 7+ -2 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-263000,53028906] |
[a1,a2,a3,a4,a6] |
Generators |
[300:1062:1] |
Generators of the group modulo torsion |
j |
-1030056195391488/25886427119 |
j-invariant |
L |
4.4275514549778 |
L(r)(E,1)/r! |
Ω |
0.35546242028254 |
Real period |
R |
3.113937751551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127925l1 |
Quadratic twists by: 5 |