Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644n |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
175315123734037248 = 28 · 3 · 138 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-390108,-91724268] |
[a1,a2,a3,a4,a6] |
Generators |
[3586770390157626:-216228192165907181:958002056712] |
Generators of the group modulo torsion |
j |
5313483250000/141879387 |
j-invariant |
L |
8.7497904256561 |
L(r)(E,1)/r! |
Ω |
0.19134234932955 |
Real period |
R |
22.864228583796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588f2 |
Quadratic twists by: 13 |