Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450bc |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-3144320000000 = -1 · 213 · 57 · 173 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -2 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3480,117147] |
[a1,a2,a3,a4,a6] |
Generators |
[-81923:-1989095:4913] [-55:401:1] |
Generators of the group modulo torsion |
j |
-60698457/40960 |
j-invariant |
L |
5.8452276492007 |
L(r)(E,1)/r! |
Ω |
0.73644415250126 |
Real period |
R |
0.076318227011011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600cc1 2890j1 14450ba1 |
Quadratic twists by: -4 5 17 |