Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984k |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62486386212096 = 28 · 39 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120879,16171650] |
[a1,a2,a3,a4,a6] |
Generators |
[6429:25460:27] |
Generators of the group modulo torsion |
j |
21882096/7 |
j-invariant |
L |
7.681388261258 |
L(r)(E,1)/r! |
Ω |
0.60943533418472 |
Real period |
R |
6.3020535815996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968g2 60984bt2 504d2 |
Quadratic twists by: -4 -3 -11 |