Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128k |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.0604930808371E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2846143,1162694721] |
[a1,a2,a3,a4,a6] |
j |
9726437216910146543/7860157321308534 |
j-invariant |
L |
1.706996309484 |
L(r)(E,1)/r! |
Ω |
0.09483312830611 |
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 |
40128bw2 1254j2 120384w2 |
Quadratic twists by: -4 8 -3 |