Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232u |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4702091378688 = -1 · 215 · 34 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3711,-58815] |
[a1,a2,a3,a4,a6] |
j |
97336/81 |
j-invariant |
L |
1.7074433171251 |
L(r)(E,1)/r! |
Ω |
0.42686082928128 |
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 |
23232ch3 11616ba4 69696cl3 192a4 |
Quadratic twists by: -4 8 -3 -11 |