Atkin-Lehner |
2- 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782z |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-593560429902 = -1 · 2 · 311 · 11 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11+ -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3938,-102414] |
[a1,a2,a3,a4,a6] |
j |
-6753948429390625/593560429902 |
j-invariant |
L |
3.2981499659542 |
L(r)(E,1)/r! |
Ω |
0.29983181508591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346bd1 |
Quadratic twists by: -3 |