Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240co |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
54046725120 = 210 · 34 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1021,-6061] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:57:1] [35:48:1] |
Generators of the group modulo torsion |
j |
115060504576/52780005 |
j-invariant |
L |
7.2459928890578 |
L(r)(E,1)/r! |
Ω |
0.88220265615856 |
Real period |
R |
1.026690528315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240e1 4560c1 54720fd1 91200gi1 |
Quadratic twists by: -4 8 -3 5 |