Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bw |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
4393558371532800 = 216 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179176,29077360] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:3610:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
3.7393300352831 |
L(r)(E,1)/r! |
Ω |
0.438854001494 |
Real period |
R |
2.1301674476779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830l1 4560x1 |
Quadratic twists by: -4 -19 |