Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73568o |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
346368 |
Modular degree for the optimal curve |
Δ |
-252319266518528 = -1 · 29 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,773804] |
[a1,a2,a3,a4,a6] |
Generators |
[23290:1256509:8] |
Generators of the group modulo torsion |
j |
-968/19 |
j-invariant |
L |
4.3716189146854 |
L(r)(E,1)/r! |
Ω |
0.4660277496333 |
Real period |
R |
9.3805978673962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73568v1 73568j1 |
Quadratic twists by: -4 -11 |