Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2399902525440000000 = 217 · 314 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9432300,-11149742000] |
[a1,a2,a3,a4,a6] |
Generators |
[-8724315:2268175:4913] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
6.6540898340885 |
L(r)(E,1)/r! |
Ω |
0.086148124535578 |
Real period |
R |
9.6550125808806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fq6 25200be6 33600gg6 20160fg5 |
Quadratic twists by: -4 8 -3 5 |