Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59926h |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
29016 |
Modular degree for the optimal curve |
Δ |
-245456896 = -1 · 213 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 2 -2 1 4 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-834,-9649] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-5:1] |
Generators of the group modulo torsion |
j |
-177724461817/679936 |
j-invariant |
L |
13.362146409376 |
L(r)(E,1)/r! |
Ω |
0.44409500012562 |
Real period |
R |
2.3144989604362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59926a1 |
Quadratic twists by: -19 |