Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14835c |
Isogeny class |
Conductor |
14835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-430585875 = -1 · 34 · 53 · 23 · 432 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 0 -6 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,189,20] |
[a1,a2,a3,a4,a6] |
Generators |
[6:37:1] [12:64:1] |
Generators of the group modulo torsion |
j |
742692847616/430585875 |
j-invariant |
L |
6.0442509063655 |
L(r)(E,1)/r! |
Ω |
0.99476745940082 |
Real period |
R |
0.75950550669492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44505m1 74175j1 |
Quadratic twists by: -3 5 |