Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bg |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
Δ |
-665221469616000000 = -1 · 210 · 310 · 56 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204480,52908228] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:-148500:1] [-504:5310:1] |
Generators of the group modulo torsion |
j |
-923375588493300484/649630341421875 |
j-invariant |
L |
11.412586902236 |
L(r)(E,1)/r! |
Ω |
0.26469791142414 |
Real period |
R |
0.11976532082726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360h2 |
Quadratic twists by: -4 |