Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cp |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-97116325312500 = -1 · 22 · 33 · 57 · 135 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13188,-752508] |
[a1,a2,a3,a4,a6] |
Generators |
[192:1854:1] |
Generators of the group modulo torsion |
j |
-16234636151161/6215444820 |
j-invariant |
L |
11.186595121348 |
L(r)(E,1)/r! |
Ω |
0.21859750929582 |
Real period |
R |
0.42645328536052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090g1 |
Quadratic twists by: 5 |