Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6834k |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1209150480920832 = -1 · 28 · 315 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26157,2323683] |
[a1,a2,a3,a4,a6] |
j |
-1979194826139139153/1209150480920832 |
j-invariant |
L |
3.5995779011873 |
L(r)(E,1)/r! |
Ω |
0.44994723764841 |
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 |
54672bc1 20502r1 116178bi1 |
Quadratic twists by: -4 -3 17 |