Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688c |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-83586975397632 = -1 · 28 · 310 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7305,368426] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:576:1] [7:648:1] |
Generators of the group modulo torsion |
j |
231002606000/447889743 |
j-invariant |
L |
7.4416028506826 |
L(r)(E,1)/r! |
Ω |
0.41879526095752 |
Real period |
R |
4.4422678241804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376r1 7896d1 |
Quadratic twists by: -4 -3 |