Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fh |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2082633515827200 = 215 · 32 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8759648,-9975875328] |
[a1,a2,a3,a4,a6] |
Generators |
[-11716768:40944:6859] |
Generators of the group modulo torsion |
j |
2569823930905/72 |
j-invariant |
L |
5.1160351006377 |
L(r)(E,1)/r! |
Ω |
0.087756215831862 |
Real period |
R |
7.2872830888571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cm2 58800jo2 58800hr2 |
Quadratic twists by: -4 5 -7 |