Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9900u |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-36536568750000 = -1 · 24 · 312 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9300,-451375] |
[a1,a2,a3,a4,a6] |
j |
-488095744/200475 |
j-invariant |
L |
2.8592956380687 |
L(r)(E,1)/r! |
Ω |
0.23827463650572 |
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 |
39600dm1 3300c1 1980f1 108900cu1 |
Quadratic twists by: -4 -3 5 -11 |