Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720ba |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-8712656330400000000 = -1 · 211 · 316 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1356080,623739828] |
[a1,a2,a3,a4,a6] |
Generators |
[-674:35100:1] |
Generators of the group modulo torsion |
j |
-134663535591973043042/4254226723828125 |
j-invariant |
L |
7.9039572802497 |
L(r)(E,1)/r! |
Ω |
0.23082109502251 |
Real period |
R |
1.0700870515713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999786 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360y5 |
Quadratic twists by: -4 |