Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320f |
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 |
[-7:4:1] [28803:941140:27] |
Generators of the group modulo torsion |
j |
53157376/1885 |
j-invariant |
L |
11.497054807983 |
L(r)(E,1)/r! |
Ω |
1.4299748583247 |
Real period |
R |
4.0200199119088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320t1 120640s1 |
Quadratic twists by: -4 8 |