Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73568n |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
1618496 = 26 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62,200] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:460:27] |
Generators of the group modulo torsion |
j |
314432/19 |
j-invariant |
L |
10.644859707957 |
L(r)(E,1)/r! |
Ω |
2.6241150944371 |
Real period |
R |
4.0565521421091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73568m1 73568a1 |
Quadratic twists by: -4 -11 |