Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900v |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
243150865031250000 = 24 · 312 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228000,34540625] |
[a1,a2,a3,a4,a6] |
j |
57537462272/10673289 |
j-invariant |
L |
1.7822701324805 |
L(r)(E,1)/r! |
Ω |
0.29704502208008 |
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 |
39600ev1 3300g1 9900w1 108900df1 |
Quadratic twists by: -4 -3 5 -11 |