Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cd |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4404992922056250000 = 24 · 32 · 58 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1223588,510565781] |
[a1,a2,a3,a4,a6] |
Generators |
[75:20437:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
8.2534955113014 |
L(r)(E,1)/r! |
Ω |
0.24522964720527 |
Real period |
R |
4.2070237051777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991059 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870j2 3450n2 |
Quadratic twists by: 5 -23 |