Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466h |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1036198686048454656 = -1 · 211 · 39 · 711 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 1 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1653171,820012661] |
[a1,a2,a3,a4,a6] |
Generators |
[709:1630:1] |
Generators of the group modulo torsion |
j |
-215773279370739/447469568 |
j-invariant |
L |
2.566216013838 |
L(r)(E,1)/r! |
Ω |
0.27729921177975 |
Real period |
R |
2.3135803356307 |
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 |
91728cz1 11466bp1 1638b1 |
Quadratic twists by: -4 -3 -7 |