Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760ci |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1876466995200 = 212 · 39 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3267,28674] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:280:1] |
Generators of the group modulo torsion |
j |
47832147/23275 |
j-invariant |
L |
7.4228530015009 |
L(r)(E,1)/r! |
Ω |
0.74080807957545 |
Real period |
R |
1.2524925841448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5985e1 95760bq1 |
Quadratic twists by: -4 -3 |