Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9900q |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-32076000000 = -1 · 28 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,6500] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
2.3656722334682 |
L(r)(E,1)/r! |
Ω |
0.78855741115607 |
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 |
39600de1 1100a1 396c1 108900cb1 |
Quadratic twists by: -4 -3 5 -11 |