Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cb |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2638119345684480 = 215 · 34 · 5 · 7 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1937136,-1038382380] |
[a1,a2,a3,a4,a6] |
Generators |
[-804:54:1] |
Generators of the group modulo torsion |
j |
196265662640945090929/644072105880 |
j-invariant |
L |
5.1157303308345 |
L(r)(E,1)/r! |
Ω |
0.1279704194552 |
Real period |
R |
2.4984926010598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999939176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330r4 |
Quadratic twists by: -4 |