Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200j |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3855122432000000 = 221 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56833,-4293537] |
[a1,a2,a3,a4,a6] |
Generators |
[363:4800:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
2.5023312713679 |
L(r)(E,1)/r! |
Ω |
0.31327767024123 |
Real period |
R |
1.9968956528573 |
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 |
11200co4 350d4 100800da4 448c4 |
Quadratic twists by: -4 8 -3 5 |