Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984ch |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18514484803584 = 211 · 36 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325611,71514630] |
[a1,a2,a3,a4,a6] |
Generators |
[366:1170:1] |
Generators of the group modulo torsion |
j |
1443468546/7 |
j-invariant |
L |
4.4512814025096 |
L(r)(E,1)/r! |
Ω |
0.60895728221565 |
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 |
121968bl4 6776c3 504c3 |
Quadratic twists by: -4 -3 -11 |