Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056bh |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-31239502737408 = -1 · 212 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,268912] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:489:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.3008287896279 |
L(r)(E,1)/r! |
Ω |
0.52358915751605 |
Real period |
R |
4.1070644109891 |
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 |
441a1 28224dk1 7056bh2 7056bc1 |
Quadratic twists by: -4 8 -3 -7 |