Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476n |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
23502080551248 = 24 · 34 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211137,37270728] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:8619:1] |
Generators of the group modulo torsion |
j |
13478411517952/304317 |
j-invariant |
L |
8.0332152106083 |
L(r)(E,1)/r! |
Ω |
0.62408872170202 |
Real period |
R |
1.0726593473093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428w1 2652d1 |
Quadratic twists by: -3 13 |