Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678b |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
894916 = 22 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 11+ -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38,64] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [0:8:1] |
Generators of the group modulo torsion |
j |
3418801/484 |
j-invariant |
L |
4.5109383413386 |
L(r)(E,1)/r! |
Ω |
2.6927500075647 |
Real period |
R |
0.41880404128362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678m1 |
Quadratic twists by: -43 |