Atkin-Lehner |
3- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40185g |
Isogeny class |
Conductor |
40185 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8372228293125 = -1 · 37 · 54 · 194 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -4 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5076,-3807] |
[a1,a2,a3,a4,a6] |
j |
19838685678911/11484538125 |
j-invariant |
L |
1.7530125817424 |
L(r)(E,1)/r! |
Ω |
0.43825314543342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13395d4 |
Quadratic twists by: -3 |