Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440h |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.6915898226057E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63037025,192940562145] |
[a1,a2,a3,a4,a6] |
j |
-105674675536486579747609/178969948677280080 |
j-invariant |
L |
0.90654407728721 |
L(r)(E,1)/r! |
Ω |
0.1133180077108 |
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 |
85440bq2 2670b2 |
Quadratic twists by: -4 8 |