Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9900p |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-11276718750000 = -1 · 24 · 38 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,206125] |
[a1,a2,a3,a4,a6] |
j |
-67108864/61875 |
j-invariant |
L |
2.6209722338565 |
L(r)(E,1)/r! |
Ω |
0.65524305846411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600di1 3300k1 1980e1 108900ce1 |
Quadratic twists by: -4 -3 5 -11 |