Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bm |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
4.5406456568523E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1682872,775780720] |
[a1,a2,a3,a4,a6] |
Generators |
[7022972:176394240:4913] |
Generators of the group modulo torsion |
j |
3188856056959/274710528 |
j-invariant |
L |
5.9273566919995 |
L(r)(E,1)/r! |
Ω |
0.19709348659481 |
Real period |
R |
7.5184583649545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762s1 54096cu1 |
Quadratic twists by: -4 -7 |