Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cw |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-210124800 = -1 · 214 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,-492] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
6.4314094418232 |
L(r)(E,1)/r! |
Ω |
0.94672993039459 |
Real period |
R |
1.1322147311752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2850s1 91200fx1 68400eh1 22800cl1 |
Quadratic twists by: -4 8 -3 5 |