Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bx |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-55680000 = -1 · 210 · 3 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 1 3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[10:45:1] |
Generators of the group modulo torsion |
j |
91625216/54375 |
j-invariant |
L |
7.4967550038655 |
L(r)(E,1)/r! |
Ω |
1.1619127273587 |
Real period |
R |
1.6130202439789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840cw1 3480n1 83520bh1 |
Quadratic twists by: -4 8 -3 |