Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320t |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
7720960 = 212 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 1 4 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,565] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
53157376/1885 |
j-invariant |
L |
5.965427559578 |
L(r)(E,1)/r! |
Ω |
2.325964270362 |
Real period |
R |
1.2823558030339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320f1 120640r1 |
Quadratic twists by: -4 8 |