Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684q |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1329289795507968 = 28 · 38 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30135,988526] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:1674:1] |
Generators of the group modulo torsion |
j |
137842000/60543 |
j-invariant |
L |
6.3427557546695 |
L(r)(E,1)/r! |
Ω |
0.43404962443443 |
Real period |
R |
1.2177478099317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228f2 7812e2 |
Quadratic twists by: -3 -7 |