Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384l |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-152132898816 = -1 · 212 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 -3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,383,18671] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:9:1] [-13:108:1] |
Generators of the group modulo torsion |
j |
1512953792/37141821 |
j-invariant |
L |
8.4381899795039 |
L(r)(E,1)/r! |
Ω |
0.77074957848046 |
Real period |
R |
0.27370076530377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384a1 120768co1 |
Quadratic twists by: -4 8 |