Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53600c |
Isogeny class |
Conductor |
53600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-6860800 = -1 · 212 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 6 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,123] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
-2560/67 |
j-invariant |
L |
4.3944545363895 |
L(r)(E,1)/r! |
Ω |
1.9801015521683 |
Real period |
R |
1.1096538285006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53600f1 107200cs1 53600p1 |
Quadratic twists by: -4 8 5 |