Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584s |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-3896064 = -1 · 28 · 32 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 5 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
19600688/15219 |
j-invariant |
L |
6.1207533732428 |
L(r)(E,1)/r! |
Ω |
1.5916381781846 |
Real period |
R |
0.48069604143872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168u1 121752v1 |
Quadratic twists by: -4 -3 |