Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932n |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.4980950543434E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257540391,1593345090510] |
[a1,a2,a3,a4,a6] |
j |
-374911279288428988268784/694225159072738447 |
j-invariant |
L |
2.5334346375732 |
L(r)(E,1)/r! |
Ω |
0.079169834383543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932h2 |
Quadratic twists by: -3 |