Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960w |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
26835157647360000 = 220 · 38 · 54 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13651200,-19418072652] |
[a1,a2,a3,a4,a6] |
Generators |
[11556:1168830:1] |
Generators of the group modulo torsion |
j |
68687274545774837740801/6551552160000 |
j-invariant |
L |
6.8199530648004 |
L(r)(E,1)/r! |
Ω |
0.078542884570995 |
Real period |
R |
5.4269342013373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2370i2 75840bp2 56880bd2 94800bg2 |
Quadratic twists by: -4 8 -3 5 |