Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60552l |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3340800 |
Modular degree for the optimal curve |
Δ |
5.4446377769043E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 0 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5633859,5023109662] |
[a1,a2,a3,a4,a6] |
Generators |
[-6347816634055134:76126233438936823:2377132345736] |
Generators of the group modulo torsion |
j |
26478914/729 |
j-invariant |
L |
8.940749324063 |
L(r)(E,1)/r! |
Ω |
0.16371259665642 |
Real period |
R |
27.306235154363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104z1 20184r1 60552t1 |
Quadratic twists by: -4 -3 29 |