Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bf |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
175597809914880 = 210 · 36 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347643,-78892218] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:29602:1] |
Generators of the group modulo torsion |
j |
132304644/5 |
j-invariant |
L |
3.4050863391411 |
L(r)(E,1)/r! |
Ω |
0.19661523522789 |
Real period |
R |
4.3296321072154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994076497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440h3 360e3 |
Quadratic twists by: -3 -19 |