Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ef |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-42178160366714880 = -1 · 220 · 32 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72080,-6468652] |
[a1,a2,a3,a4,a6] |
Generators |
[1512213465058:27448357128192:10662526601] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
11.766104387669 |
L(r)(E,1)/r! |
Ω |
0.1963874705108 |
Real period |
R |
14.978175990722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830y1 4560t1 |
Quadratic twists by: -4 -19 |