Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960cp |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-12960546912000 = -1 · 28 · 310 · 53 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5073,-103246] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-810:1] [25:198:1] |
Generators of the group modulo torsion |
j |
11279504/10125 |
j-invariant |
L |
12.072748601204 |
L(r)(E,1)/r! |
Ω |
0.3894427195358 |
Real period |
R |
1.2916692661645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320a1 129960bh1 |
Quadratic twists by: -3 -19 |