Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650j |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
214411058437500 = 22 · 33 · 57 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74626,7808648] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:2801:1] |
Generators of the group modulo torsion |
j |
2941479403457041/13722307740 |
j-invariant |
L |
3.8249937474396 |
L(r)(E,1)/r! |
Ω |
0.5643288489133 |
Real period |
R |
0.56482931816635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200bk4 31950bx4 2130l3 |
Quadratic twists by: -4 -3 5 |