Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936bi |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50115077992894464 = -1 · 212 · 320 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49899,11593690] |
[a1,a2,a3,a4,a6] |
Generators |
[663:16430:1] |
Generators of the group modulo torsion |
j |
-4601630708137/16783438221 |
j-invariant |
L |
7.4437393366616 |
L(r)(E,1)/r! |
Ω |
0.31173182793459 |
Real period |
R |
5.9696658069756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2871c2 15312ba2 |
Quadratic twists by: -4 -3 |