Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dt |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-13706718750000 = -1 · 24 · 35 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -6 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4079,-145870] |
[a1,a2,a3,a4,a6] |
j |
1299125682176/2373046875 |
j-invariant |
L |
3.6980831783702 |
L(r)(E,1)/r! |
Ω |
0.36980831923047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660j1 86640bv1 |
Quadratic twists by: -4 -19 |