Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600b |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5292000000 = -1 · 28 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,3250] |
[a1,a2,a3,a4,a6] |
Generators |
[11:84:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
4.3875211630237 |
L(r)(E,1)/r! |
Ω |
0.97112230098899 |
Real period |
R |
1.1294975819615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200m2 100800o2 12600bj2 504e2 |
Quadratic twists by: -4 8 -3 5 |