Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760bo |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-1489880044800000 = -1 · 211 · 36 · 55 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26853,-761686] |
[a1,a2,a3,a4,a6] |
Generators |
[73:1260:1] |
Generators of the group modulo torsion |
j |
1434315418702/997915625 |
j-invariant |
L |
7.8687064788331 |
L(r)(E,1)/r! |
Ω |
0.26989851472963 |
Real period |
R |
0.1457715780095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47880bk1 10640c1 |
Quadratic twists by: -4 -3 |