Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350fe |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-245213963280000 = -1 · 27 · 311 · 54 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37580,2912847] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-1779:1] |
Generators of the group modulo torsion |
j |
-12881773522825/538192512 |
j-invariant |
L |
9.8492496337219 |
L(r)(E,1)/r! |
Ω |
0.55057620929618 |
Real period |
R |
0.212964108961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450n1 64350bq1 |
Quadratic twists by: -3 5 |