Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350br |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
146777695312500 = 22 · 35 · 510 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-906588,331870281] |
[a1,a2,a3,a4,a6] |
Generators |
[561:195:1] |
Generators of the group modulo torsion |
j |
5273920936142579449/9393772500 |
j-invariant |
L |
8.1491186735775 |
L(r)(E,1)/r! |
Ω |
0.4960847629343 |
Real period |
R |
4.1067168770591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870f2 |
Quadratic twists by: 5 |