Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840g |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5253809039360 = 211 · 5 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19787,1065626] |
[a1,a2,a3,a4,a6] |
Generators |
[410:7866:1] |
Generators of the group modulo torsion |
j |
418344073725762/2565336445 |
j-invariant |
L |
4.6118788064289 |
L(r)(E,1)/r! |
Ω |
0.76890356609568 |
Real period |
R |
5.9979937793888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24920h4 |
Quadratic twists by: -4 |