Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6225g |
Isogeny class |
Conductor |
6225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
261743316650390625 = 3 · 516 · 833 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-867376,-310023727] |
[a1,a2,a3,a4,a6] |
Generators |
[-7641279798:6038393231:14886936] |
Generators of the group modulo torsion |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
5.6745903876455 |
L(r)(E,1)/r! |
Ω |
0.15647410981242 |
Real period |
R |
12.0884543231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600bm1 18675h1 1245b1 |
Quadratic twists by: -4 -3 5 |