Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bz |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1060512750000 = -1 · 24 · 36 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1715,-41900] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1242:1] |
Generators of the group modulo torsion |
j |
34845190651904/66282046875 |
j-invariant |
L |
4.6769629183291 |
L(r)(E,1)/r! |
Ω |
0.45678542080466 |
Real period |
R |
1.7064770111931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180n1 |
Quadratic twists by: -4 |