Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960w |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10484121600 = 216 · 34 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218419200,-1242538290252] |
[a1,a2,a3,a4,a6] |
Generators |
[463692:7239050:27] |
Generators of the group modulo torsion |
j |
281343057218179728015052801/2559600 |
j-invariant |
L |
6.8199530648004 |
L(r)(E,1)/r! |
Ω |
0.039271442285497 |
Real period |
R |
10.853868402675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2370i4 75840bp4 56880bd4 94800bg4 |
Quadratic twists by: -4 8 -3 5 |