Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bj |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3857868000000 = -1 · 28 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2025,-87750] |
[a1,a2,a3,a4,a6] |
j |
11664/49 |
j-invariant |
L |
3.1767011582042 |
L(r)(E,1)/r! |
Ω |
0.39708764477552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200n2 100800p2 12600b2 504b2 |
Quadratic twists by: -4 8 -3 5 |