Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448dc |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
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 |
[-8595:91896:125] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
8.5290112154097 |
L(r)(E,1)/r! |
Ω |
0.28757574142538 |
Real period |
R |
7.4145781326471 |
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 |
32448i2 8112v2 97344fy2 32448dg2 |
Quadratic twists by: -4 8 -3 13 |