Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720ck |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8275795968000 = 216 · 3 · 53 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5456,68244] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:462:1] |
Generators of the group modulo torsion |
j |
4385977971409/2020458000 |
j-invariant |
L |
7.2509868753157 |
L(r)(E,1)/r! |
Ω |
0.65923339006825 |
Real period |
R |
2.7497798900898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590o1 |
Quadratic twists by: -4 |