Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056bm |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-51640810647552 = -1 · 212 · 37 · 78 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16464,883568] |
[a1,a2,a3,a4,a6] |
Generators |
[49:441:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
4.6601444085664 |
L(r)(E,1)/r! |
Ω |
0.61604247553157 |
Real period |
R |
0.63038732361018 |
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 |
441e1 28224es1 2352j1 7056bw1 |
Quadratic twists by: -4 8 -3 -7 |