Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056z |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4116773808 = -1 · 24 · 37 · 76 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,294,-2401] |
[a1,a2,a3,a4,a6] |
Generators |
[91:882:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
3.7980299066997 |
L(r)(E,1)/r! |
Ω |
0.73572177178356 |
Real period |
R |
1.2905795547862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3528l1 28224fv1 2352c1 144b1 |
Quadratic twists by: -4 8 -3 -7 |