Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648u |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1095643618900992 = 210 · 32 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60768,5561820] |
[a1,a2,a3,a4,a6] |
Generators |
[393:6498:1] |
Generators of the group modulo torsion |
j |
515150500/22743 |
j-invariant |
L |
4.84428055116 |
L(r)(E,1)/r! |
Ω |
0.48498693580339 |
Real period |
R |
2.4971190941544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bk2 3192f2 |
Quadratic twists by: -4 -19 |