Atkin-Lehner |
3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90387r |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87198740739560241 = 310 · 118 · 832 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192231,-29115608] |
[a1,a2,a3,a4,a6] |
j |
608291319817/67519089 |
j-invariant |
L |
1.8371883871608 |
L(r)(E,1)/r! |
Ω |
0.2296485718333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30129d2 8217j2 |
Quadratic twists by: -3 -11 |