Atkin-Lehner |
2- 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590bd |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
931733383680000 = 212 · 39 · 54 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26933,-852019] |
[a1,a2,a3,a4,a6] |
Generators |
[295:-4248:1] |
Generators of the group modulo torsion |
j |
2963706958323721/1278097920000 |
j-invariant |
L |
8.4763942965334 |
L(r)(E,1)/r! |
Ω |
0.3875418570402 |
Real period |
R |
0.91134180546622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530l1 |
Quadratic twists by: -3 |