Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448i |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6689428743389184 = -1 · 242 · 32 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33471,-3162303] |
[a1,a2,a3,a4,a6] |
Generators |
[61645:1441792:125] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
6.01452169448 |
L(r)(E,1)/r! |
Ω |
0.2222190664084 |
Real period |
R |
3.3832164987512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448dc2 1014f2 97344cq2 32448k2 |
Quadratic twists by: -4 8 -3 13 |