Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856y |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9256411572897E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19130664,-31500479376] |
[a1,a2,a3,a4,a6] |
j |
189040091609621492623657/4701272356664305344 |
j-invariant |
L |
0.57838298927869 |
L(r)(E,1)/r! |
Ω |
0.072297873659837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1482d3 47424cx4 35568cg4 |
Quadratic twists by: -4 8 -3 |