Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592j |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1728558644852E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,126996,-520760000] |
[a1,a2,a3,a4,a6] |
Generators |
[235200:21961720:27] |
Generators of the group modulo torsion |
j |
75858868818368/39278705595381 |
j-invariant |
L |
7.9896093586098 |
L(r)(E,1)/r! |
Ω |
0.08733777699552 |
Real period |
R |
7.6232851662068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592t2 24864w2 |
Quadratic twists by: -4 -3 |