Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640a |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16735116639360000 = -1 · 210 · 3 · 54 · 73 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20056,-6312644] |
[a1,a2,a3,a4,a6] |
Generators |
[6320610:-502330609:1000] |
Generators of the group modulo torsion |
j |
-871321383227236/16342887343125 |
j-invariant |
L |
3.0652472734884 |
L(r)(E,1)/r! |
Ω |
0.16817492020204 |
Real period |
R |
9.113271080729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280n3 |
Quadratic twists by: -4 |