Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912y |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6904190060199936 = 226 · 34 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73857,6586335] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:3780:1] |
Generators of the group modulo torsion |
j |
169967019783457/26337394944 |
j-invariant |
L |
8.5706135054732 |
L(r)(E,1)/r! |
Ω |
0.40255390827292 |
Real period |
R |
2.6613247720795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912bk2 966g2 92736co2 |
Quadratic twists by: -4 8 -3 |