Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bp |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
237047040000 = 211 · 33 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2907,-55594] |
[a1,a2,a3,a4,a6] |
Generators |
[62:50:1] |
Generators of the group modulo torsion |
j |
7163154/625 |
j-invariant |
L |
7.6328405316952 |
L(r)(E,1)/r! |
Ω |
0.65380619510157 |
Real period |
R |
2.9186173901131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129960a2 129960g2 |
Quadratic twists by: -3 -19 |