Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900j |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-451068750000 = -1 · 24 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-32375] |
[a1,a2,a3,a4,a6] |
Generators |
[80:675:1] |
Generators of the group modulo torsion |
j |
-16384/2475 |
j-invariant |
L |
4.5269024700473 |
L(r)(E,1)/r! |
Ω |
0.41727560492265 |
Real period |
R |
0.90405925497099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600ds1 3300m1 1980c1 108900bq1 |
Quadratic twists by: -4 -3 5 -11 |