Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656bz |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
40211601948672 = 222 · 3 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28288,1796276] |
[a1,a2,a3,a4,a6] |
Generators |
[650:1617:8] |
Generators of the group modulo torsion |
j |
459206250875/7375872 |
j-invariant |
L |
6.7932176428269 |
L(r)(E,1)/r! |
Ω |
0.64669090849427 |
Real period |
R |
2.6261454868156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082s1 121968dh1 40656cv1 |
Quadratic twists by: -4 -3 -11 |