Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684g |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5470328376576 = -1 · 28 · 33 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3969,58310] |
[a1,a2,a3,a4,a6] |
Generators |
[7:294:1] [347:6574:1] |
Generators of the group modulo torsion |
j |
8503056/6727 |
j-invariant |
L |
8.8607592443198 |
L(r)(E,1)/r! |
Ω |
0.49039309921809 |
Real period |
R |
1.5057238873685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54684d2 7812c2 |
Quadratic twists by: -3 -7 |