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 |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
60412240171008 = 212 · 313 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70779,7238122] |
[a1,a2,a3,a4,a6] |
Generators |
[141:248:1] |
Generators of the group modulo torsion |
j |
13132563308857/20231937 |
j-invariant |
L |
7.4437393366616 |
L(r)(E,1)/r! |
Ω |
0.62346365586918 |
Real period |
R |
2.9848329034878 |
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 |
2871c1 15312ba1 |
Quadratic twists by: -4 -3 |