Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476j |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-1629477584886528 = -1 · 28 · 33 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205053,35723871] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1938:1] |
Generators of the group modulo torsion |
j |
-4566016000/7803 |
j-invariant |
L |
6.4064441694514 |
L(r)(E,1)/r! |
Ω |
0.47417258399694 |
Real period |
R |
2.2517976174587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
103428q1 34476i1 |
Quadratic twists by: -3 13 |