Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800eo |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-17686356480000 = -1 · 212 · 312 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,200450] |
[a1,a2,a3,a4,a6] |
j |
304175/9477 |
j-invariant |
L |
2.0835259142811 |
L(r)(E,1)/r! |
Ω |
0.52088147865234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2925p1 15600bq1 46800dt1 |
Quadratic twists by: -4 -3 5 |