Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cx |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-476454117703680 = -1 · 220 · 314 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93185,10968063] |
[a1,a2,a3,a4,a6] |
Generators |
[133:972:1] |
Generators of the group modulo torsion |
j |
-341370886042369/1817528220 |
j-invariant |
L |
5.6538823966081 |
L(r)(E,1)/r! |
Ω |
0.52810531073362 |
Real period |
R |
0.76471251927737 |
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 |
18240p1 4560m1 54720ec1 91200fy1 |
Quadratic twists by: -4 8 -3 5 |