Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800p |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-246903552000000 = -1 · 214 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8100,-702000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:775:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
3.8829679050074 |
L(r)(E,1)/r! |
Ω |
0.28078336634617 |
Real period |
R |
3.457263107628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jz2 12600bj2 100800o2 4032d2 |
Quadratic twists by: -4 8 -3 5 |