Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384h |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
4 |
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 |
[79:444:1] [95:716:1] |
Generators of the group modulo torsion |
j |
-643182611968/50898051 |
j-invariant |
L |
7.1700467993303 |
L(r)(E,1)/r! |
Ω |
0.32445621533882 |
Real period |
R |
5.5246643925797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384z1 120768bq1 |
Quadratic twists by: -4 8 |