Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
610b |
Isogeny class |
Conductor |
610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
930250000 = 24 · 56 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-244,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:42:1] |
Generators of the group modulo torsion |
j |
1610252558361/930250000 |
j-invariant |
L |
1.6222091649525 |
L(r)(E,1)/r! |
Ω |
1.3194872252746 |
Real period |
R |
0.81961595074174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4880g2 19520a2 5490u2 3050j2 |
Quadratic twists by: -4 8 -3 5 |