Atkin-Lehner |
2+ 3- 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526i |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5801039666152045128 = -1 · 23 · 322 · 112 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53973,-115967651] |
[a1,a2,a3,a4,a6] |
j |
-23852306689011793/7957530406244232 |
j-invariant |
L |
0.85944745539922 |
L(r)(E,1)/r! |
Ω |
0.10743093776791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28842n2 |
Quadratic twists by: -3 |