Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cz |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
437728051200000 = 224 · 3 · 55 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68120,-6791532] |
[a1,a2,a3,a4,a6] |
Generators |
[-1302:825:8] |
Generators of the group modulo torsion |
j |
8534813931497881/106867200000 |
j-invariant |
L |
8.7188148732184 |
L(r)(E,1)/r! |
Ω |
0.29573944770943 |
Real period |
R |
2.9481406491071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590c1 |
Quadratic twists by: -4 |