Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550b |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-94196375000 = -1 · 23 · 56 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4825,-131875] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1050:1] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
2.0039403256985 |
L(r)(E,1)/r! |
Ω |
0.28627731161471 |
Real period |
R |
3.499998505637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36400bq2 40950dr2 182b2 31850v2 |
Quadratic twists by: -4 -3 5 -7 |