Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678h |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
57274624 = 28 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ -3 -3 -3 11+ 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-196,-944] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [-8:12:1] |
Generators of the group modulo torsion |
j |
451648737/30976 |
j-invariant |
L |
3.0185275706909 |
L(r)(E,1)/r! |
Ω |
1.2811557985661 |
Real period |
R |
0.58902429627794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678q1 |
Quadratic twists by: -43 |