Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266u |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-1487435021923968 = -1 · 27 · 33 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26283,2474289] |
[a1,a2,a3,a4,a6] |
Generators |
[66:981:1] |
Generators of the group modulo torsion |
j |
-415996269625/308161152 |
j-invariant |
L |
9.5244987436241 |
L(r)(E,1)/r! |
Ω |
0.4394217620681 |
Real period |
R |
0.25803658260211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798g1 1482e1 |
Quadratic twists by: -3 13 |