Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bf |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
219497262393600 = 28 · 36 · 52 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22743,-1111158] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:360:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
3.4050863391411 |
L(r)(E,1)/r! |
Ω |
0.39323047045578 |
Real period |
R |
2.1648160536077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994076497 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14440h2 360e2 |
Quadratic twists by: -3 -19 |