Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320c |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1304842240 = 212 · 5 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -4 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568,4912] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-52:1] [9:23:1] |
Generators of the group modulo torsion |
j |
4947761664/318565 |
j-invariant |
L |
6.3033106367712 |
L(r)(E,1)/r! |
Ω |
1.5003156682877 |
Real period |
R |
0.70022049026077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320b1 120640cs1 |
Quadratic twists by: -4 8 |