Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672s |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
27744816006333504 = 26 · 312 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-356421,-81508700] |
[a1,a2,a3,a4,a6] |
j |
22235451328/123201 |
j-invariant |
L |
1.5636646155887 |
L(r)(E,1)/r! |
Ω |
0.19545807696116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48672bu1 97344bo2 16224t1 3744p1 |
Quadratic twists by: -4 8 -3 13 |