Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cy |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5358469917966336000 = -1 · 242 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1655745,-828126657] |
[a1,a2,a3,a4,a6] |
Generators |
[3026:147915:1] |
Generators of the group modulo torsion |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
6.8110692850898 |
L(r)(E,1)/r! |
Ω |
0.066503559231367 |
Real period |
R |
5.6898118301325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240q1 4560n1 54720ed1 91200fz1 |
Quadratic twists by: -4 8 -3 5 |