Atkin-Lehner |
3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561a |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59040 |
Modular degree for the optimal curve |
Δ |
-57287417427 = -1 · 38 · 194 · 67 |
Discriminant |
Eigenvalues |
0 3+ 2 -2 -4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,963,344] |
[a1,a2,a3,a4,a6] |
Generators |
[36:283:1] |
Generators of the group modulo torsion |
j |
757071872/439587 |
j-invariant |
L |
2.4588986309407 |
L(r)(E,1)/r! |
Ω |
0.6706351455734 |
Real period |
R |
1.833261087014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72561l1 |
Quadratic twists by: -19 |