Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984ch |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6350468287629312 = 211 · 36 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64251,-4959306] |
[a1,a2,a3,a4,a6] |
Generators |
[286:242:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
4.4512814025096 |
L(r)(E,1)/r! |
Ω |
0.30447864110783 |
Real period |
R |
3.6548387976807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968bl3 6776c4 504c4 |
Quadratic twists by: -4 -3 -11 |