Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bk |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-457147772928 = -1 · 212 · 32 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1896,-7632] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-242:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
4.2403278082156 |
L(r)(E,1)/r! |
Ω |
0.54406564975371 |
Real period |
R |
0.97422246059275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2541l1 121968ec1 336e1 |
Quadratic twists by: -4 -3 -11 |