Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384z |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-208478416896 = -1 · 212 · 37 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -3 -7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2877,62379] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:333:1] [-27:348:1] |
Generators of the group modulo torsion |
j |
-643182611968/50898051 |
j-invariant |
L |
9.8016312575089 |
L(r)(E,1)/r! |
Ω |
0.98118645698928 |
Real period |
R |
0.356770373972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384h1 120768t1 |
Quadratic twists by: -4 8 |