Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048z |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1018387759104 = -1 · 218 · 36 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2196,28080] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:100:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
7.4411120277164 |
L(r)(E,1)/r! |
Ω |
0.57007470865498 |
Real period |
R |
3.2632179233444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048cg2 657d2 4672a2 |
Quadratic twists by: -4 8 -3 |