Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46644i |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
14409067455744 = 28 · 3 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240205,-45232487] |
[a1,a2,a3,a4,a6] |
Generators |
[1803:73346:1] |
Generators of the group modulo torsion |
j |
7339810816/69 |
j-invariant |
L |
6.4023459466084 |
L(r)(E,1)/r! |
Ω |
0.21565232173405 |
Real period |
R |
3.2986974873468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46644j1 |
Quadratic twists by: 13 |