Atkin-Lehner |
2- 3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782t |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
992055244503312 = 24 · 35 · 11 · 176 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46965,3592971] |
[a1,a2,a3,a4,a6] |
j |
11456376297704318161/992055244503312 |
j-invariant |
L |
1.9277689921681 |
L(r)(E,1)/r! |
Ω |
0.48194224804135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346s1 |
Quadratic twists by: -3 |