Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946n |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-308292684922306944 = -1 · 27 · 311 · 172 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 1 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56446,-27231685] |
[a1,a2,a3,a4,a6] |
j |
-68821774221965761/1066756695232896 |
j-invariant |
L |
1.83907060118 |
L(r)(E,1)/r! |
Ω |
0.1313621857992 |
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 |
98838g1 32946x1 |
Quadratic twists by: -3 17 |