Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056c |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-191886050304 = -1 · 210 · 38 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5464,158716] |
[a1,a2,a3,a4,a6] |
Generators |
[10:324:1] |
Generators of the group modulo torsion |
j |
-616966948/6561 |
j-invariant |
L |
3.4491192911882 |
L(r)(E,1)/r! |
Ω |
1.0120866889268 |
Real period |
R |
0.85198217922558 |
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 |
8112o1 32448bo1 12168s1 101400dh1 |
Quadratic twists by: -4 8 -3 5 |