Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232ck |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-63217006313472 = -1 · 215 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-382593] |
[a1,a2,a3,a4,a6] |
Generators |
[6123:479160:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
8.1171528785456 |
L(r)(E,1)/r! |
Ω |
0.28415424035705 |
Real period |
R |
3.5707512530633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232bb2 11616h2 69696dr2 2112o2 |
Quadratic twists by: -4 8 -3 -11 |