Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522j |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81312 |
Modular degree for the optimal curve |
Δ |
-553140224 = -1 · 214 · 72 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3 2 7- 0 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2011,35237] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:2983:27] |
Generators of the group modulo torsion |
j |
-18360534308697/11288576 |
j-invariant |
L |
10.073487927888 |
L(r)(E,1)/r! |
Ω |
1.6227396417951 |
Real period |
R |
3.1038521734378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522e1 |
Quadratic twists by: -7 |