Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460p |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
146160 |
Modular degree for the optimal curve |
Δ |
-46931980446000 = -1 · 24 · 36 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 6 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7848,192429] |
[a1,a2,a3,a4,a6] |
Generators |
[223:3610:1] |
Generators of the group modulo torsion |
j |
4583035109376/4023660875 |
j-invariant |
L |
6.3693774014454 |
L(r)(E,1)/r! |
Ω |
0.41469798885404 |
Real period |
R |
1.0239383153756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940c1 |
Quadratic twists by: -3 |