Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592br |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
113571683463168 = 212 · 310 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20460,-1002976] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:259:1] |
Generators of the group modulo torsion |
j |
317214568000/38034927 |
j-invariant |
L |
7.3296567760901 |
L(r)(E,1)/r! |
Ω |
0.40231482559628 |
Real period |
R |
1.518225759051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592h2 24864g2 |
Quadratic twists by: -4 -3 |