Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056b |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-96786192384 = -1 · 211 · 39 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -5 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,-23814] |
[a1,a2,a3,a4,a6] |
Generators |
[63:378:1] |
Generators of the group modulo torsion |
j |
-2646 |
j-invariant |
L |
3.7603891099519 |
L(r)(E,1)/r! |
Ω |
0.38849735593819 |
Real period |
R |
0.80660976033132 |
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 |
3528m1 28224cy1 7056a1 7056e1 |
Quadratic twists by: -4 8 -3 -7 |