Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936bh |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51520 |
Modular degree for the optimal curve |
Δ |
-27623337984 = -1 · 212 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5328,-149904] |
[a1,a2,a3,a4,a6] |
Generators |
[81510:1551239:216] |
Generators of the group modulo torsion |
j |
-5601816576/9251 |
j-invariant |
L |
4.4358786548742 |
L(r)(E,1)/r! |
Ω |
0.27937369865863 |
Real period |
R |
7.9389696957435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2871d1 5104b1 |
Quadratic twists by: -4 -3 |